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76966428 = 223711312687
BaseRepresentation
bin1001001011001…
…10101000011100
312100211022002110
410211212220130
5124200411203
611345354020
71623126630
oct445465034
9170738073
1076966428
113a49a020
1221938910
1312c3a686
14a316dc0
156b54d03
hex4966a1c

76966428 has 96 divisors (see below), whose sum is σ = 231211008. Its totient is φ = 19339200.

The previous prime is 76966411. The next prime is 76966453. The reversal of 76966428 is 82466967.

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, 27301 + ... + 29987.

It is an arithmetic number, because the mean of its divisors is an integer number (2408448).

Almost surely, 276966428 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 76966428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115605504).

76966428 is an abundant number, since it is smaller than the sum of its proper divisors (154244580).

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

76966428 is a wasteful number, since it uses less digits than its factorization.

76966428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2743 (or 2741 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 76966428 is about 8773.0512365995. The cubic root of 76966428 is about 425.3702480602.

The spelling of 76966428 in words is "seventy-six million, nine hundred sixty-six thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 31 33 42 44 62 66 77 84 93 124 132 154 186 217 231 308 341 372 434 462 651 682 868 924 1023 1302 1364 2046 2387 2604 2687 4092 4774 5374 7161 8061 9548 10748 14322 16122 18809 28644 29557 32244 37618 56427 59114 75236 83297 88671 112854 118228 166594 177342 206899 225708 249891 333188 354684 413798 499782 583079 620697 827596 916267 999564 1166158 1241394 1749237 1832534 2332316 2482788 2748801 3498474 3665068 5497602 6413869 6996948 10995204 12827738 19241607 25655476 38483214 76966428