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79144912 = 24711227283
BaseRepresentation
bin1001011011110…
…10011111010000
312111220222102001
410231322133100
5130230114122
611504203344
71650502120
oct455723720
9174828361
1079144912
1140747820
1222609554
1313521112
14a722c80
156e35527
hex4b7a7d0

79144912 has 80 divisors (see below), whose sum is σ = 192701952. Its totient is φ = 30591360.

The previous prime is 79144903. The next prime is 79144931. The reversal of 79144912 is 21944197.

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, 279523 + ... + 279805.

Almost surely, 279144912 is an apocalyptic number.

79144912 is the 7264-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79144912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96350976).

79144912 is an abundant number, since it is smaller than the sum of its proper divisors (113557040).

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

79144912 is a wasteful number, since it uses less digits than its factorization.

79144912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 530 counting only the distinct ones).

The product of its digits is 18144, while the sum is 37.

The square root of 79144912 is about 8896.3426193015. The cubic root of 79144912 is about 429.3462428980.

It can be divided in two parts, 79 and 144912, that added together give a triangular number (144991 = T538).

The spelling of 79144912 in words is "seventy-nine million, one hundred forty-four thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 227 283 308 454 566 616 908 1132 1232 1589 1816 1981 2264 2497 3113 3178 3632 3962 4528 4994 6226 6356 7924 9988 12452 12712 15848 17479 19976 21791 24904 25424 31696 34958 39952 43582 49808 64241 69916 87164 128482 139832 174328 256964 279664 348656 449687 513928 706651 899374 1027856 1413302 1798748 2826604 3597496 4946557 5653208 7194992 9893114 11306416 19786228 39572456 79144912