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79376864 = 2572233171
BaseRepresentation
bin1001011101100…
…11000111100000
312112100202120212
410232303013200
5130310024424
611513153252
71652456300
oct456630740
9175322525
1079376864
1140896016
12226bb828
13135a2878
14a783600
156e7e10e
hex4bb31e0

79376864 has 144 divisors (see below), whose sum is σ = 198567936. Its totient is φ = 31046400.

The previous prime is 79376863. The next prime is 79376867. The reversal of 79376864 is 46867397.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79376863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1117949 + ... + 1118019.

It is an arithmetic number, because the mean of its divisors is an integer number (1378944).

Almost surely, 279376864 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 79376864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99283968).

79376864 is an abundant number, since it is smaller than the sum of its proper divisors (119191072).

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

79376864 is a wasteful number, since it uses less digits than its factorization.

79376864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 134 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 50.

The square root of 79376864 is about 8909.3694501912. The cubic root of 79376864 is about 429.7652657901.

The spelling of 79376864 in words is "seventy-nine million, three hundred seventy-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 23 28 31 32 46 49 56 62 71 92 98 112 124 142 161 184 196 217 224 248 284 322 368 392 434 496 497 568 644 713 736 784 868 992 994 1127 1136 1288 1426 1519 1568 1633 1736 1988 2201 2254 2272 2576 2852 3038 3266 3472 3479 3976 4402 4508 4991 5152 5704 6076 6532 6944 6958 7952 8804 9016 9982 11408 11431 12152 13064 13916 15407 15904 17608 18032 19964 22816 22862 24304 26128 27832 30814 34937 35216 36064 39928 45724 48608 50623 52256 55664 61628 69874 70432 79856 80017 91448 101246 107849 111328 123256 139748 159712 160034 182896 202492 215698 246512 279496 320068 354361 365792 404984 431396 493024 558992 640136 708722 809968 862792 1117984 1280272 1417444 1619936 1725584 2480527 2560544 2834888 3451168 4961054 5669776 9922108 11339552 19844216 39688432 79376864