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76513836 = 223719191251
BaseRepresentation
bin1001000111110…
…00001000101100
312022222022020210
410203320020230
5124041420321
611331542420
71616233260
oct443701054
9168868223
1076513836
113a20aa83
122175aa10
1312b0c679
14a23a0a0
156ab5b76
hex48f822c

76513836 has 96 divisors (see below), whose sum is σ = 216760320. Its totient is φ = 20520000.

The previous prime is 76513819. The next prime is 76513841. The reversal of 76513836 is 63831567.

It is a junction number, because it is equal to n+sod(n) for n = 76513794 and 76513803.

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 31 ways as a sum of consecutive naturals, for example, 304711 + ... + 304961.

It is an arithmetic number, because the mean of its divisors is an integer number (2257920).

Almost surely, 276513836 is an apocalyptic number.

76513836 is a gapful number since it is divisible by the number (76) 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 76513836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108380160).

76513836 is an abundant number, since it is smaller than the sum of its proper divisors (140246484).

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

76513836 is a wasteful number, since it uses less digits than its factorization.

76513836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 473 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 76513836 is about 8747.2187579824. The cubic root of 76513836 is about 424.5348285313.

The spelling of 76513836 in words is "seventy-six million, five hundred thirteen thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 191 228 251 266 382 399 502 532 573 753 764 798 1004 1146 1337 1506 1596 1757 2292 2674 3012 3514 3629 4011 4769 5271 5348 7028 7258 8022 9538 10542 10887 14307 14516 16044 19076 21084 21774 25403 28614 33383 43548 47941 50806 57228 66766 76209 95882 100149 101612 133532 143823 152418 191764 200298 287646 304836 335587 400596 575292 671174 910879 1006761 1342348 1821758 2013522 2732637 3643516 4027044 5465274 6376153 10930548 12752306 19128459 25504612 38256918 76513836