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79542132 = 223194167127
BaseRepresentation
bin1001011110110…
…11011101110100
312112200011021220
410233123131310
5130330322012
611520510340
71654045155
oct457333564
9175604256
1079542132
11409991aa
122277b3b0
131362cb67
14a7c792c
156eb308c
hex4bdb774

79542132 has 96 divisors (see below), whose sum is σ = 204718080. Its totient is φ = 23950080.

The previous prime is 79542107. The next prime is 79542149. The reversal of 79542132 is 23124597.

It is a junction number, because it is equal to n+sod(n) for n = 79542093 and 79542102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 626253 + ... + 626379.

It is an arithmetic number, because the mean of its divisors is an integer number (2132480).

Almost surely, 279542132 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 79542132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102359040).

79542132 is an abundant number, since it is smaller than the sum of its proper divisors (125175948).

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

79542132 is a wasteful number, since it uses less digits than its factorization.

79542132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 259 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 79542132 is about 8918.6395823578. The cubic root of 79542132 is about 430.0633258097.

The spelling of 79542132 in words is "seventy-nine million, five hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 41 57 67 76 82 114 123 127 134 164 201 228 246 254 268 381 402 492 508 762 779 804 1273 1524 1558 2337 2413 2546 2747 3116 3819 4674 4826 5092 5207 5494 7239 7638 8241 8509 9348 9652 10414 10988 14478 15276 15621 16482 17018 20828 25527 28956 31242 32964 34036 51054 52193 62484 98933 102108 104386 156579 161671 197866 208772 296799 313158 323342 348869 395732 485013 593598 626316 646684 697738 970026 1046607 1187196 1395476 1940052 2093214 4186428 6628511 13257022 19885533 26514044 39771066 79542132