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79485952 = 210713853
BaseRepresentation
bin1001011110011…
…01110000000000
312112120022020011
410233031300000
5130322022302
611515354304
71653422320
oct457156000
9175508204
1079485952
114095aa77
1222752994
1313610410
14a7b1280
156ea15d7
hex4bcdc00

79485952 has 88 divisors (see below), whose sum is σ = 195791456. Its totient is φ = 31408128.

The previous prime is 79485943. The next prime is 79485983. The reversal of 79485952 is 25958497.

It is a junction number, because it is equal to n+sod(n) for n = 79485896 and 79485905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92758 + ... + 93610.

Almost surely, 279485952 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 79485952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97895728).

79485952 is an abundant number, since it is smaller than the sum of its proper divisors (116305504).

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

79485952 is a wasteful number, since it uses less digits than its factorization.

79485952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 875 counting only the distinct ones).

The product of its digits is 907200, while the sum is 49.

The square root of 79485952 is about 8915.4894425376. The cubic root of 79485952 is about 429.9620518161.

The spelling of 79485952 in words is "seventy-nine million, four hundred eighty-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 832 853 896 1024 1456 1664 1706 1792 2912 3328 3412 3584 5824 5971 6656 6824 7168 11089 11648 11942 13312 13648 22178 23296 23884 27296 44356 46592 47768 54592 77623 88712 93184 95536 109184 155246 177424 191072 218368 310492 354848 382144 436736 620984 709696 764288 873472 1241968 1419392 1528576 2483936 2838784 3057152 4967872 5677568 6114304 9935744 11355136 19871488 39742976 79485952