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79948344 = 2337895347
BaseRepresentation
bin1001100001111…
…10101000111000
312120102210111210
410300332220320
5130431321334
611533323120
71660356360
oct460765070
9176383453
1079948344
1141146413
12229364a0
1313742a18
14a8919a0
1570435e9
hex4c3ea38

79948344 has 64 divisors (see below), whose sum is σ = 231033600. Its totient is φ = 22581504.

The previous prime is 79948307. The next prime is 79948361. The reversal of 79948344 is 44384997.

79948344 = T71 + T72 + ... + T782.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 79948293 and 79948302.

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 15 ways as a sum of consecutive naturals, for example, 12279 + ... + 17625.

It is an arithmetic number, because the mean of its divisors is an integer number (3609900).

Almost surely, 279948344 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 79948344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115516800).

79948344 is an abundant number, since it is smaller than the sum of its proper divisors (151085256).

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

79948344 is a wasteful number, since it uses less digits than its factorization.

79948344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5452 (or 5448 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 79948344 is about 8941.3837855222. The cubic root of 79948344 is about 430.7941768063.

The spelling of 79948344 in words is "seventy-nine million, nine hundred forty-eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 89 168 178 267 356 534 623 712 1068 1246 1869 2136 2492 3738 4984 5347 7476 10694 14952 16041 21388 32082 37429 42776 64164 74858 112287 128328 149716 224574 299432 449148 475883 898296 951766 1427649 1903532 2855298 3331181 3807064 5710596 6662362 9993543 11421192 13324724 19987086 26649448 39974172 79948344