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4266666240 = 28352394649
BaseRepresentation
bin1111111001010000…
…0010100100000000
3102000100111002202120
43332110002210000
532214231304430
61543213244240
7210506031114
oct37624024400
912010432676
104266666240
11189a470551
129b0a93680
1352cc4aca5
142c692b744
1519e89c610
hexfe502900

4266666240 has 144 divisors (see below), whose sum is σ = 13686624000. Its totient is φ = 1132773376.

The previous prime is 4266666233. The next prime is 4266666241. The reversal of 4266666240 is 426666624.

It is a junction number, because it is equal to n+sod(n) for n = 4266666192 and 4266666201.

It is not an unprimeable number, because it can be changed into a prime (4266666241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 915436 + ... + 920084.

It is an arithmetic number, because the mean of its divisors is an integer number (95046000).

Almost surely, 24266666240 is an apocalyptic number.

4266666240 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 4266666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6843312000).

4266666240 is an abundant number, since it is smaller than the sum of its proper divisors (9419957760).

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

4266666240 is a wasteful number, since it uses less digits than its factorization.

4266666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4912 (or 4898 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The square root of 4266666240 is about 65319.7232082317. The cubic root of 4266666240 is about 1621.9204780889.

It can be divided in two parts, 426 and 6666240, that added together give a palindrome (6666666).

The spelling of 4266666240 in words is "four billion, two hundred sixty-six million, six hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 239 240 256 320 384 478 480 640 717 768 956 960 1195 1280 1434 1912 1920 2390 2868 3585 3824 3840 4649 4780 5736 7170 7648 9298 9560 11472 13947 14340 15296 18596 19120 22944 23245 27894 28680 30592 37192 38240 45888 46490 55788 57360 61184 69735 74384 76480 91776 92980 111576 114720 139470 148768 152960 183552 185960 223152 229440 278940 297536 305920 371920 446304 458880 557880 595072 743840 892608 917760 1111111 1115760 1190144 1487680 1785216 2222222 2231520 2975360 3333333 3570432 4444444 4463040 5555555 5950720 6666666 8888888 8926080 11111110 13333332 16666665 17777776 17852160 22222220 26666664 33333330 35555552 44444440 53333328 66666660 71111104 88888880 106666656 133333320 142222208 177777760 213333312 266666640 284444416 355555520 426666624 533333280 711111040 853333248 1066666560 1422222080 2133333120 4266666240