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3125419528 = 237211727997
BaseRepresentation
bin1011101001001010…
…0001111000001000
322001211000202120211
42322102201320020
522400101411103
61234044330504
7140310425200
oct27222417010
98054022524
103125419528
111364243a50
12732843a34
133aa68818a
14219133400
151345ba36d
hexba4a1e08

3125419528 has 96 divisors (see below), whose sum is σ = 7454341440. Its totient is φ = 1214801280.

The previous prime is 3125419513. The next prime is 3125419543. The reversal of 3125419528 is 8259145213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3125419513) and next prime (3125419543).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3134326 + ... + 3135322.

It is an arithmetic number, because the mean of its divisors is an integer number (77649390).

Almost surely, 23125419528 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 3125419528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3727170720).

3125419528 is an abundant number, since it is smaller than the sum of its proper divisors (4328921912).

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

3125419528 is a wasteful number, since it uses less digits than its factorization.

3125419528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755 (or 1744 counting only the distinct ones).

The product of its digits is 86400, while the sum is 40.

The square root of 3125419528 is about 55905.4516840710. The cubic root of 3125419528 is about 1462.0742905690.

The spelling of 3125419528 in words is "three billion, one hundred twenty-five million, four hundred nineteen thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 196 308 392 539 616 727 997 1078 1454 1994 2156 2908 3988 4312 5089 5816 6979 7976 7997 10178 10967 13958 15994 20356 21934 27916 31988 35623 40712 43868 48853 55832 55979 63976 71246 76769 87736 97706 111958 142492 153538 195412 223916 284984 307076 390824 391853 447832 537383 614152 724819 783706 1074766 1449638 1567412 2149532 2899276 3134824 4299064 5073733 5798552 7973009 10147466 15946018 20294932 31892036 35516131 40589864 55811063 63784072 71032262 111622126 142064524 223244252 284129048 390677441 446488504 781354882 1562709764 3125419528