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4749185120 = 25531267461
BaseRepresentation
bin1000110110001001…
…01101000001100000
3110020222102121020012
410123010231001200
534211242410440
62103131304052
7225455256521
oct43304550140
913228377205
104749185120
112017878089
12b065ab028
135a8bc2314
14330a52848
151cbe10e65
hex11b12d060

4749185120 has 144 divisors (see below), whose sum is σ = 11792121264. Its totient is φ = 1807027200.

The previous prime is 4749185069. The next prime is 4749185123. The reversal of 4749185120 is 215819474.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4749185123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10301690 + ... + 10302150.

It is an arithmetic number, because the mean of its divisors is an integer number (81889731).

Almost surely, 24749185120 is an apocalyptic number.

4749185120 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 4749185120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896060632).

4749185120 is an abundant number, since it is smaller than the sum of its proper divisors (7042936144).

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

4749185120 is a wasteful number, since it uses less digits than its factorization.

4749185120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The square root of 4749185120 is about 68914.3317460164. The cubic root of 4749185120 is about 1680.8915713575.

The spelling of 4749185120 in words is "four billion, seven hundred forty-nine million, one hundred eighty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 67 80 124 134 155 160 248 268 310 335 461 496 536 620 670 922 961 992 1072 1240 1340 1844 1922 2077 2144 2305 2480 2680 3688 3844 4154 4610 4805 4960 5360 7376 7688 8308 9220 9610 10385 10720 14291 14752 15376 16616 18440 19220 20770 28582 30752 30887 33232 36880 38440 41540 57164 61774 64387 66464 71455 73760 76880 83080 114328 123548 128774 142910 153760 154435 166160 228656 247096 257548 285820 308870 321935 332320 443021 457312 494192 515096 571640 617740 643870 886042 957497 988384 1030192 1143280 1235480 1287740 1772084 1914994 2060384 2215105 2286560 2470960 2575480 3544168 3829988 4430210 4787485 4941920 5150960 7088336 7659976 8860420 9574970 10301920 14176672 15319952 17720840 19149940 29682407 30639904 35441680 38299880 59364814 70883360 76599760 118729628 148412035 153199520 237459256 296824070 474918512 593648140 949837024 1187296280 2374592560 4749185120