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76813488 = 2433269661
BaseRepresentation
bin1001001010000…
…01010010110000
312100112112022000
410211001102300
5124131012423
611342214000
71621622013
oct445012260
9170475260
1076813488
113a3a5124
1221884300
1312bb5b8b
14a2b737a
156b24843
hex49414b0

76813488 has 80 divisors (see below), whose sum is σ = 221637600. Its totient is φ = 25470720.

The previous prime is 76813453. The next prime is 76813493. The reversal of 76813488 is 88431867.

It is a super-2 number, since 2×768134882 = 11800623877452288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115878 + ... + 116538.

It is an arithmetic number, because the mean of its divisors is an integer number (2770470).

Almost surely, 276813488 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 76813488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110818800).

76813488 is an abundant number, since it is smaller than the sum of its proper divisors (144824112).

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

76813488 is a wasteful number, since it uses less digits than its factorization.

76813488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 935 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 76813488 is about 8764.3304364909. The cubic root of 76813488 is about 425.0883101379.

The spelling of 76813488 in words is "seventy-six million, eight hundred thirteen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 269 432 538 661 807 1076 1322 1614 1983 2152 2421 2644 3228 3966 4304 4842 5288 5949 6456 7263 7932 9684 10576 11898 12912 14526 15864 17847 19368 23796 29052 31728 35694 38736 47592 58104 71388 95184 116208 142776 177809 285552 355618 533427 711236 1066854 1422472 1600281 2133708 2844944 3200562 4267416 4800843 6401124 8534832 9601686 12802248 19203372 25604496 38406744 76813488