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76397104 = 24741127131
BaseRepresentation
bin1001000110110…
…11101000110000
312022202101010101
410203123220300
5124024201404
611325242144
71615236040
oct443335060
9168671111
1076397104
113a140303
1221703354
1312a9b4b4
14a209720
156a912a4
hex48dba30

76397104 has 80 divisors (see below), whose sum is σ = 175988736. Its totient is φ = 31449600.

The previous prime is 76397093. The next prime is 76397129. The reversal of 76397104 is 40179367.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 583119 + ... + 583249.

Almost surely, 276397104 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 76397104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87994368).

76397104 is an abundant number, since it is smaller than the sum of its proper divisors (99591632).

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

76397104 is a wasteful number, since it uses less digits than its factorization.

76397104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 76397104 is about 8740.5436901831. The cubic root of 76397104 is about 424.3188239262.

The spelling of 76397104 in words is "seventy-six million, three hundred ninety-seven thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 127 131 164 254 262 287 328 508 524 574 656 889 917 1016 1048 1148 1778 1834 2032 2096 2296 3556 3668 4592 5207 5371 7112 7336 10414 10742 14224 14672 16637 20828 21484 33274 36449 37597 41656 42968 66548 72898 75194 83312 85936 116459 133096 145796 150388 232918 266192 291592 300776 465836 583184 601552 682117 931672 1364234 1863344 2728468 4774819 5456936 9549638 10913872 19099276 38198552 76397104