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5872540128 = 253713672223
BaseRepresentation
bin1010111100000011…
…11101100111100000
3120011021012221121020
411132001331213200
544011332241003
62410420525440
7265345524150
oct53601754740
916137187536
105872540128
112543994354
12117a850880
1372785c520
143d9d10760
1524585bd53
hex15e07d9e0

5872540128 has 96 divisors (see below), whose sum is σ = 18972850176. Its totient is φ = 1548799488.

The previous prime is 5872540111. The next prime is 5872540139. The reversal of 5872540128 is 8210452785.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 5872540128.

It is a congruent number.

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, 327376 + ... + 344847.

It is an arithmetic number, because the mean of its divisors is an integer number (197633856).

Almost surely, 25872540128 is an apocalyptic number.

It is an amenable number.

5872540128 is an abundant number, since it is smaller than the sum of its proper divisors (13100310048).

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

5872540128 is a wasteful number, since it uses less digits than its factorization.

5872540128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672256 (or 672248 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 42.

The square root of 5872540128 is about 76632.5004681434. The cubic root of 5872540128 is about 1804.1611680271.

The spelling of 5872540128 in words is "five billion, eight hundred seventy-two million, five hundred forty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 8736 672223 1344446 2016669 2688892 4033338 4705561 5377784 8066676 8738899 9411122 10755568 14116683 16133352 17477798 18822244 21511136 26216697 28233366 32266704 34955596 37644488 52433394 56466732 61172293 64533408 69911192 75288976 104866788 112933464 122344586 139822384 150577952 183516879 209733576 225866928 244689172 279644768 367033758 419467152 451733856 489378344 734067516 838934304 978756688 1468135032 1957513376 2936270064 5872540128