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5753075360 = 255192118969
BaseRepresentation
bin1010101101110100…
…01111011010100000
3112211221102111202012
411112322033122200
543240241402420
62350512212052
7262365222314
oct52672173240
915757374665
105753075360
11249250873a
12114683a028
13708b92106
143c80d3b44
1523a10edc5
hex156e8f6a0

5753075360 has 96 divisors (see below), whose sum is σ = 14376398400. Its totient is φ = 2169538560.

The previous prime is 5753075359. The next prime is 5753075411. The reversal of 5753075360 is 635703575.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 636956 + ... + 645924.

It is an arithmetic number, because the mean of its divisors is an integer number (149754150).

Almost surely, 25753075360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5753075360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7188199200).

5753075360 is an abundant number, since it is smaller than the sum of its proper divisors (8623323040).

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

5753075360 is a wasteful number, since it uses less digits than its factorization.

5753075360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9214 (or 9206 counting only the distinct ones).

The product of its (nonzero) digits is 330750, while the sum is 41.

The square root of 5753075360 is about 75849.0300531259. The cubic root of 5753075360 is about 1791.8432745853.

The spelling of 5753075360 in words is "five billion, seven hundred fifty-three million, seventy-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 211 304 380 422 608 760 844 1055 1520 1688 2110 3040 3376 4009 4220 6752 8018 8440 8969 16036 16880 17938 20045 32072 33760 35876 40090 44845 64144 71752 80180 89690 128288 143504 160360 170411 179380 287008 320720 340822 358760 641440 681644 717520 852055 1363288 1435040 1704110 1892459 2726576 3408220 3784918 5453152 6816440 7569836 9462295 13632880 15139672 18924590 27265760 30279344 35956721 37849180 60558688 71913442 75698360 143826884 151396720 179783605 287653768 302793440 359567210 575307536 719134420 1150615072 1438268840 2876537680 5753075360