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49048032 = 2531146447
BaseRepresentation
bin1011101100011…
…0100111100000
310102021220020210
42323012213200
5100024014112
64511134120
71133621115
oct273064740
9112256223
1049048032
1125760570
1214514340
13a214007
14672a90c
15448cb3c
hex2ec69e0

49048032 has 48 divisors (see below), whose sum is σ = 140458752. Its totient is φ = 14862720.

The previous prime is 49048003. The next prime is 49048037. The reversal of 49048032 is 23084094.

It is a happy number.

49048032 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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49048037) 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 7 ways as a sum of consecutive naturals, for example, 22168 + ... + 24279.

It is an arithmetic number, because the mean of its divisors is an integer number (2926224).

Almost surely, 249048032 is an apocalyptic number.

It is an amenable number.

49048032 is an abundant number, since it is smaller than the sum of its proper divisors (91410720).

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

49048032 is a wasteful number, since it uses less digits than its factorization.

49048032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46471 (or 46463 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 49048032 is about 7003.4300167846. The cubic root of 49048032 is about 366.0500991469.

The spelling of 49048032 in words is "forty-nine million, forty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 46447 92894 139341 185788 278682 371576 510917 557364 743152 1021834 1114728 1486304 1532751 2043668 2229456 3065502 4087336 4458912 6131004 8174672 12262008 16349344 24524016 49048032