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76325808 = 243132972
BaseRepresentation
bin1001000110010…
…10001110110000
312022121202022210
410203022032300
5124014411213
611323532120
71614521136
oct443121660
9168552283
1076325808
113a0a1789
122168a040
1312a74c00
14a1cb756
156a7a0c3
hex48ca3b0

76325808 has 90 divisors (see below), whose sum is σ = 215732844. Its totient is φ = 23242752.

The previous prime is 76325803. The next prime is 76325827. The reversal of 76325808 is 80852367.

It is a super-3 number, since 3×763258083 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (76325803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 786816 + ... + 786912.

Almost surely, 276325808 is an apocalyptic number.

76325808 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76325808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107866422).

76325808 is an abundant number, since it is smaller than the sum of its proper divisors (139407036).

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

76325808 is a wasteful number, since it uses less digits than its factorization.

76325808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 76325808 is about 8736.4642733774. The cubic root of 76325808 is about 424.1867872872.

The spelling of 76325808 in words is "seventy-six million, three hundred twenty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 97 104 156 169 194 208 291 312 338 388 507 582 624 676 776 1014 1164 1261 1352 1552 2028 2328 2522 2704 3783 4056 4656 5044 7566 8112 9409 10088 15132 16393 18818 20176 28227 30264 32786 37636 49179 56454 60528 65572 75272 98358 112908 122317 131144 150544 196716 225816 244634 262288 366951 393432 451632 489268 733902 786864 978536 1467804 1590121 1957072 2935608 3180242 4770363 5871216 6360484 9540726 12720968 19081452 25441936 38162904 76325808