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79497968 = 241133733
BaseRepresentation
bin1001011110100…
…00101011110000
312112120220201012
410233100223300
5130322413333
611515530052
71653502334
oct457205360
9175526635
1079497968
1140969000
1222759928
1313615a24
14a7b57c4
156ea4e48
hex4bd0af0

79497968 has 40 divisors (see below), whose sum is σ = 169463856. Its totient is φ = 36125760.

The previous prime is 79497953. The next prime is 79497973. The reversal of 79497968 is 86979497.

It is a super-2 number, since 2×794979682 = 12639853832258048, 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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19430 + ... + 23162.

Almost surely, 279497968 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 79497968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84731928).

79497968 is an abundant number, since it is smaller than the sum of its proper divisors (89965888).

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

79497968 is a wasteful number, since it uses less digits than its factorization.

79497968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3774 (or 3746 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 59.

The square root of 79497968 is about 8916.1633004337. The cubic root of 79497968 is about 429.9837167081.

The spelling of 79497968 in words is "seventy-nine million, four hundred ninety-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1331 1936 2662 3733 5324 7466 10648 14932 21296 29864 41063 59728 82126 164252 328504 451693 657008 903386 1806772 3613544 4968623 7227088 9937246 19874492 39748984 79497968