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76066512 = 2436183313
BaseRepresentation
bin1001000100010…
…10111011010000
312022010120122020
410202022323100
5123433112022
611314211440
71612361154
oct442127320
9168116566
1076066512
1139a34995
1221583b80
13129b3b92
14a161064
156a2835c
hex488aed0

76066512 has 80 divisors (see below), whose sum is σ = 202778688. Its totient is φ = 24560640.

The previous prime is 76066457. The next prime is 76066541. The reversal of 76066512 is 21566067.

It is a super-2 number, since 2×760665122 = 11572228495692288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 242868 + ... + 243180.

Almost surely, 276066512 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 76066512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101389344).

76066512 is an abundant number, since it is smaller than the sum of its proper divisors (126712176).

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

76066512 is a wasteful number, since it uses less digits than its factorization.

76066512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 462 counting only the distinct ones).

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

The square root of 76066512 is about 8721.6117776475. The cubic root of 76066512 is about 423.7058895444.

The spelling of 76066512 in words is "seventy-six million, sixty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 83 122 166 183 244 249 313 332 366 488 498 626 664 732 939 976 996 1252 1328 1464 1878 1992 2504 2928 3756 3984 5008 5063 7512 10126 15024 15189 19093 20252 25979 30378 38186 40504 51958 57279 60756 76372 77937 81008 103916 114558 121512 152744 155874 207832 229116 243024 305488 311748 415664 458232 623496 916464 1246992 1584719 3169438 4754157 6338876 9508314 12677752 19016628 25355504 38033256 76066512