Search a number
-
+
79855256 = 23131731247
BaseRepresentation
bin1001100001001…
…11111010011000
312120021001211002
410300213322120
5130420332011
611531324132
71656521105
oct460477230
9176231732
1079855256
1141092488
12228b0648
131370c540
14a869aac
157025c3b
hex4c27e98

79855256 has 96 divisors (see below), whose sum is σ = 180169920. Its totient is φ = 32855040.

The previous prime is 79855247. The next prime is 79855289. The reversal of 79855256 is 65255897.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a self number, because there is not a number n which added to its sum of digits gives 79855256.

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 23 ways as a sum of consecutive naturals, for example, 1699025 + ... + 1699071.

It is an arithmetic number, because the mean of its divisors is an integer number (1876770).

Almost surely, 279855256 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 79855256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90084960).

79855256 is an abundant number, since it is smaller than the sum of its proper divisors (100314664).

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

79855256 is a wasteful number, since it uses less digits than its factorization.

79855256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 110 counting only the distinct ones).

The product of its digits is 756000, while the sum is 47.

The square root of 79855256 is about 8936.1768111424. The cubic root of 79855256 is about 430.6269132100.

The spelling of 79855256 in words is "seventy-nine million, eight hundred fifty-five thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 17 26 31 34 47 52 62 68 94 104 124 136 188 221 248 376 403 442 527 611 799 806 884 961 1054 1222 1457 1598 1612 1768 1922 2108 2444 2914 3196 3224 3844 4216 4888 5828 6392 6851 7688 10387 11656 12493 13702 16337 18941 20774 24769 24986 27404 32674 37882 41548 45167 49538 49972 54808 65348 75764 83096 90334 99076 99944 130696 151528 180668 198152 212381 321997 361336 424762 587171 643994 767839 849524 1174342 1287988 1535678 1699048 2348684 2575976 3071356 4697368 6142712 9981907 19963814 39927628 79855256