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5760925956 = 2233191317881
BaseRepresentation
bin1010101110110000…
…01100000100000100
3112212111012100202000
411113120030010010
543244244112311
62351352345300
7262522030332
oct52730140404
915774170660
105760925956
11249698aa35
1211493a5230
1370a6b0536
143c9178b52
1523ab61056
hex15760c104

5760925956 has 96 divisors (see below), whose sum is σ = 15078389760. Its totient is φ = 1902067200.

The previous prime is 5760925931. The next prime is 5760925969. The reversal of 5760925956 is 6595290675.

It is a happy number.

5760925956 is a `hidden beast` number, since 5 + 7 + 609 + 25 + 9 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6538636 + ... + 6539516.

It is an arithmetic number, because the mean of its divisors is an integer number (157066560).

Almost surely, 25760925956 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 5760925956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7539194880).

5760925956 is an abundant number, since it is smaller than the sum of its proper divisors (9317463804).

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

5760925956 is a wasteful number, since it uses less digits than its factorization.

5760925956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The square root of 5760925956 is about 75900.7638696739. The cubic root of 5760925956 is about 1792.6579486524.

The spelling of 5760925956 in words is "five billion, seven hundred sixty million, nine hundred twenty-five thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 191 317 382 573 634 764 881 951 1146 1268 1719 1762 1902 2292 2643 2853 3438 3524 3804 5157 5286 5706 6876 7929 8559 10314 10572 11412 15858 17118 20628 23787 31716 34236 47574 60547 95148 121094 168271 181641 242188 279277 336542 363282 504813 544923 558554 673084 726564 837831 1009626 1089846 1117108 1514439 1634769 1675662 2019252 2179692 2513493 3028878 3269538 3351324 4543317 5026986 6057756 6539076 7540479 9086634 10053972 15080958 18173268 30161916 53341907 106683814 160025721 213367628 320051442 480077163 640102884 960154326 1440231489 1920308652 2880462978 5760925956