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79670496 = 25319311409
BaseRepresentation
bin1001011111110…
…10110011100000
312112220200101010
410233322303200
5130343423441
611523340520
71655121333
oct457726340
9175820333
1079670496
1140a76694
1222821740
1313676409
14a81c61a
156edb116
hex4bface0

79670496 has 96 divisors (see below), whose sum is σ = 227404800. Its totient is φ = 24330240.

The previous prime is 79670489. The next prime is 79670519. The reversal of 79670496 is 69407697.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 55840 + ... + 57248.

It is an arithmetic number, because the mean of its divisors is an integer number (2368800).

Almost surely, 279670496 is an apocalyptic number.

79670496 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 79670496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113702400).

79670496 is an abundant number, since it is smaller than the sum of its proper divisors (147734304).

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

79670496 is a wasteful number, since it uses less digits than its factorization.

79670496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The square root of 79670496 is about 8925.8330703638. The cubic root of 79670496 is about 430.2945449041.

The spelling of 79670496 in words is "seventy-nine million, six hundred seventy thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 76 93 96 114 124 152 186 228 248 304 372 456 496 589 608 744 912 992 1178 1409 1488 1767 1824 2356 2818 2976 3534 4227 4712 5636 7068 8454 9424 11272 14136 16908 18848 22544 26771 28272 33816 43679 45088 53542 56544 67632 80313 87358 107084 131037 135264 160626 174716 214168 262074 321252 349432 428336 524148 642504 698864 829901 856672 1048296 1285008 1397728 1659802 2096592 2489703 2570016 3319604 4193184 4979406 6639208 9958812 13278416 19917624 26556832 39835248 79670496