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49138976 = 2517591531
BaseRepresentation
bin1011101101110…
…0110100100000
310102110112000002
42323130310200
5100034421401
64513115132
71134450215
oct273346440
9112415002
1049138976
1125812927
1214558aa8
13a246523
146751b0c
1544a9a6b
hex2edcd20

49138976 has 48 divisors (see below), whose sum is σ = 104237280. Its totient is φ = 22717440.

The previous prime is 49138919. The next prime is 49138987. The reversal of 49138976 is 67983194.

49138976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 49138976.

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, 31331 + ... + 32861.

It is an arithmetic number, because the mean of its divisors is an integer number (2171610).

Almost surely, 249138976 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 49138976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52118640).

49138976 is an abundant number, since it is smaller than the sum of its proper divisors (55098304).

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

49138976 is a wasteful number, since it uses less digits than its factorization.

49138976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1609 counting only the distinct ones).

The product of its digits is 326592, while the sum is 47.

The square root of 49138976 is about 7009.9198283575. The cubic root of 49138976 is about 366.2762006828.

The spelling of 49138976 in words is "forty-nine million, one hundred thirty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 59 68 118 136 236 272 472 544 944 1003 1531 1888 2006 3062 4012 6124 8024 12248 16048 24496 26027 32096 48992 52054 90329 104108 180658 208216 361316 416432 722632 832864 1445264 1535593 2890528 3071186 6142372 12284744 24569488 49138976