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76328064 = 2732591123
BaseRepresentation
bin1001000110010…
…10110010000000
312022121212102100
410203022302000
5124014444224
611323550400
71614530541
oct443126200
9168555370
1076328064
113a0a344a
122168b400
1312a75c47
14a1cc4c8
156a7aac9
hex48cac80

76328064 has 96 divisors (see below), whose sum is σ = 223563600. Its totient is φ = 24989184.

The previous prime is 76328059. The next prime is 76328089. The reversal of 76328064 is 46082367.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67407 + ... + 68529.

Almost surely, 276328064 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 76328064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111781800).

76328064 is an abundant number, since it is smaller than the sum of its proper divisors (147235536).

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

76328064 is a wasteful number, since it uses less digits than its factorization.

76328064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 76328064 is about 8736.5933864407. The cubic root of 76328064 is about 424.1909665463.

The spelling of 76328064 in words is "seventy-six million, three hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 128 144 177 192 236 288 354 384 472 531 576 708 944 1062 1123 1152 1416 1888 2124 2246 2832 3369 3776 4248 4492 5664 6738 7552 8496 8984 10107 11328 13476 16992 17968 20214 22656 26952 33984 35936 40428 53904 66257 67968 71872 80856 107808 132514 143744 161712 198771 215616 265028 323424 397542 431232 530056 596313 646848 795084 1060112 1192626 1293696 1590168 2120224 2385252 3180336 4240448 4770504 6360672 8480896 9541008 12721344 19082016 25442688 38164032 76328064