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49613664 = 2532971251
BaseRepresentation
bin1011110101000…
…0101101100000
310110100122011010
42331100231200
5100200114124
64531220520
71141465152
oct275205540
9113318133
1049613664
1126007531
1214747740
13a3815c9
146836ad2
154550529
hex2f50b60

49613664 has 96 divisors (see below), whose sum is σ = 137168640. Its totient is φ = 15680000.

The previous prime is 49613621. The next prime is 49613677. The reversal of 49613664 is 46631694.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197539 + ... + 197789.

It is an arithmetic number, because the mean of its divisors is an integer number (1428840).

Almost surely, 249613664 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 49613664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68584320).

49613664 is an abundant number, since it is smaller than the sum of its proper divisors (87554976).

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

49613664 is a wasteful number, since it uses less digits than its factorization.

49613664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 356 counting only the distinct ones).

The product of its digits is 93312, while the sum is 39.

The square root of 49613664 is about 7043.6967566754. The cubic root of 49613664 is about 367.4518461595.

The spelling of 49613664 in words is "forty-nine million, six hundred thirteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 71 87 96 116 142 174 213 232 251 284 348 426 464 502 568 696 753 852 928 1004 1136 1392 1506 1704 2008 2059 2272 2784 3012 3408 4016 4118 6024 6177 6816 7279 8032 8236 12048 12354 14558 16472 17821 21837 24096 24708 29116 32944 35642 43674 49416 53463 58232 65888 71284 87348 98832 106926 116464 142568 174696 197664 213852 232928 285136 349392 427704 516809 570272 698784 855408 1033618 1550427 1710816 2067236 3100854 4134472 6201708 8268944 12403416 16537888 24806832 49613664