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4726025040 = 2435111994219
BaseRepresentation
bin1000110011011000…
…10110101101010000
3110012100211221120110
410121230112231100
534134330300130
62100543041320
7225054356442
oct43154265520
913170757513
104726025040
112005799620
12aba8a0240
135a4173729
1432b944492
151c9d88ab0
hex119b16b50

4726025040 has 160 divisors (see below), whose sum is σ = 16823923200. Its totient is φ = 1085391360.

The previous prime is 4726025033. The next prime is 4726025047. The reversal of 4726025040 is 405206274.

It is an interprime number because it is at equal distance from previous prime (4726025033) and next prime (4726025047).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4726024989 and 4726025007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4726025047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3051 + ... + 97269.

It is an arithmetic number, because the mean of its divisors is an integer number (105149520).

Almost surely, 24726025040 is an apocalyptic number.

4726025040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4726025040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8411961600).

4726025040 is an abundant number, since it is smaller than the sum of its proper divisors (12097898160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4726025040 is a wasteful number, since it uses less digits than its factorization.

4726025040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94265 (or 94259 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 4726025040 is about 68746.0910888757. The cubic root of 4726025040 is about 1678.1547483604.

The spelling of 4726025040 in words is "four billion, seven hundred twenty-six million, twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 24 30 33 38 40 44 48 55 57 60 66 76 80 88 95 110 114 120 132 152 165 176 190 209 220 228 240 264 285 304 330 380 418 440 456 528 570 627 660 760 836 880 912 1045 1140 1254 1320 1520 1672 2090 2280 2508 2640 3135 3344 4180 4560 5016 6270 8360 10032 12540 16720 25080 50160 94219 188438 282657 376876 471095 565314 753752 942190 1036409 1130628 1413285 1507504 1790161 1884380 2072818 2261256 2826570 3109227 3580322 3768760 4145636 4522512 5182045 5370483 5653140 6218454 7160644 7537520 8291272 8950805 10364090 10740966 11306280 12436908 14321288 15546135 16582544 17901610 19691771 20728180 21481932 22612560 24873816 26852415 28642576 31092270 35803220 39383542 41456360 42963864 49747632 53704830 59075313 62184540 71606440 78767084 82912720 85927728 98458855 107409660 118150626 124369080 143212880 157534168 196917710 214819320 236301252 248738160 295376565 315068336 393835420 429638640 472602504 590753130 787670840 945205008 1181506260 1575341680 2363012520 4726025040