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76531416 = 233131747307
BaseRepresentation
bin1001000111111…
…00011011011000
312100000012100220
410203330123120
5124043001131
611332200040
71616335443
oct443743330
9170005326
1076531416
113a222205
1221769020
1312b17680
14a24265a
156abae96
hex48fc6d8

76531416 has 128 divisors (see below), whose sum is σ = 223534080. Its totient is φ = 21620736.

The previous prime is 76531409. The next prime is 76531421. The reversal of 76531416 is 61413567.

It is a congruent number.

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, 249135 + ... + 249441.

It is an arithmetic number, because the mean of its divisors is an integer number (1746360).

Almost surely, 276531416 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 76531416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111767040).

76531416 is an abundant number, since it is smaller than the sum of its proper divisors (147002664).

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

76531416 is a wasteful number, since it uses less digits than its factorization.

76531416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 389 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 76531416 is about 8748.2235911069. The cubic root of 76531416 is about 424.5673400837.

The spelling of 76531416 in words is "seventy-six million, five hundred thirty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 47 51 52 68 78 94 102 104 136 141 156 188 204 221 282 307 312 376 408 442 564 611 614 663 799 884 921 1128 1222 1228 1326 1598 1768 1833 1842 2397 2444 2456 2652 3196 3666 3684 3991 4794 4888 5219 5304 6392 7332 7368 7982 9588 10387 10438 11973 14429 14664 15657 15964 19176 20774 20876 23946 28858 31161 31314 31928 41548 41752 43287 47892 57716 62322 62628 67847 83096 86574 95784 115432 124644 125256 135694 173148 187577 203541 245293 249288 271388 346296 375154 407082 490586 542776 562731 735879 750308 814164 981172 1125462 1471758 1500616 1628328 1962344 2250924 2943516 3188809 4501848 5887032 6377618 9566427 12755236 19132854 25510472 38265708 76531416