Search a number
-
+
49705656 = 233711132069
BaseRepresentation
bin1011110110011…
…1001010111000
310110112022100020
42331213022320
5100211040111
64533210440
71142330310
oct275471270
9113468306
1049705656
112606a660
1214790a20
13a3b4440
14685c440
15456c906
hex2f672b8

49705656 has 128 divisors (see below), whose sum is σ = 166924800. Its totient is φ = 11911680.

The previous prime is 49705651. The next prime is 49705687. The reversal of 49705656 is 65650794.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49705651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22990 + ... + 25058.

It is an arithmetic number, because the mean of its divisors is an integer number (1304100).

Almost surely, 249705656 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 49705656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83462400).

49705656 is an abundant number, since it is smaller than the sum of its proper divisors (117219144).

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

49705656 is a wasteful number, since it uses less digits than its factorization.

49705656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 49705656 is about 7050.2238262342. The cubic root of 49705656 is about 367.6788115900.

The spelling of 49705656 in words is "forty-nine million, seven hundred five thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 42 44 52 56 66 77 78 84 88 91 104 132 143 154 156 168 182 231 264 273 286 308 312 364 429 462 546 572 616 728 858 924 1001 1092 1144 1716 1848 2002 2069 2184 3003 3432 4004 4138 6006 6207 8008 8276 12012 12414 14483 16552 22759 24024 24828 26897 28966 43449 45518 49656 53794 57932 68277 80691 86898 91036 107588 115864 136554 159313 161382 173796 182072 188279 215176 273108 295867 318626 322764 347592 376558 477939 546216 564837 591734 637252 645528 753116 887601 955878 1129674 1183468 1274504 1506232 1775202 1911756 2071069 2259348 2366936 3550404 3823512 4142138 4518696 6213207 7100808 8284276 12426414 16568552 24852828 49705656