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49731136 = 267138539
BaseRepresentation
bin1011110110110…
…1011001000000
310110120121021221
42331231121000
5100212344021
64533524424
71142464510
oct275553100
9113517257
1049731136
1126087814
12147a3714
13a3c2c10
146867840
154575241
hex2f6d640

49731136 has 56 divisors (see below), whose sum is σ = 121472960. Its totient is φ = 19671552.

The previous prime is 49731127. The next prime is 49731167. The reversal of 49731136 is 63113794.

49731136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

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 7 ways as a sum of consecutive naturals, for example, 1555 + ... + 10093.

It is an arithmetic number, because the mean of its divisors is an integer number (2169160).

Almost surely, 249731136 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 49731136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60736480).

49731136 is an abundant number, since it is smaller than the sum of its proper divisors (71741824).

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

49731136 is a wasteful number, since it uses less digits than its factorization.

49731136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8571 (or 8561 counting only the distinct ones).

The product of its digits is 13608, while the sum is 34.

The square root of 49731136 is about 7052.0306295421. The cubic root of 49731136 is about 367.7416270824.

The spelling of 49731136 in words is "forty-nine million, seven hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 5824 8539 17078 34156 59773 68312 111007 119546 136624 222014 239092 273248 444028 478184 546496 777049 888056 956368 1554098 1776112 1912736 3108196 3552224 3825472 6216392 7104448 12432784 24865568 49731136