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49031136 = 2533711267
BaseRepresentation
bin1011101100001…
…0011111100000
310102021001002000
42323002133200
5100022444021
64510524000
71133520630
oct273023740
9112231060
1049031136
1125749900
1214506600
13a20940b
1467246c0
154487b26
hex2ec27e0

49031136 has 288 divisors, whose sum is σ = 182327040. Its totient is φ = 12545280.

The previous prime is 49031131. The next prime is 49031149. The reversal of 49031136 is 63113094.

49031136 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 (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49031131) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 731775 + ... + 731841.

It is an arithmetic number, because the mean of its divisors is an integer number (633080).

Almost surely, 249031136 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 49031136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91163520).

49031136 is an abundant number, since it is smaller than the sum of its proper divisors (133295904).

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

49031136 is a wasteful number, since it uses less digits than its factorization.

49031136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 49031136 is about 7002.2236468139. The cubic root of 49031136 is about 366.0080621712.

It can be divided in two parts, 490 and 31136, that added together give a triangular number (31626 = T251).

The spelling of 49031136 in words is "forty-nine million, thirty-one thousand, one hundred thirty-six".