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49170144 = 2531673067
BaseRepresentation
bin1011101110010…
…0011011100000
310102112002202110
42323210123200
5100041421034
64513515320
71134640122
oct273443340
9112462673
1049170144
1125834291
1214572b40
13a25777a
14675d212
1544b3de9
hex2ee46e0

49170144 has 48 divisors (see below), whose sum is σ = 129886848. Its totient is φ = 16286592.

The previous prime is 49170089. The next prime is 49170169. The reversal of 49170144 is 44107194.

49170144 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 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, 14499 + ... + 17565.

It is an arithmetic number, because the mean of its divisors is an integer number (2705976).

Almost surely, 249170144 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 49170144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64943424).

49170144 is an abundant number, since it is smaller than the sum of its proper divisors (80716704).

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

49170144 is a wasteful number, since it uses less digits than its factorization.

49170144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3247 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 49170144 is about 7012.1426112138. The cubic root of 49170144 is about 366.3536251954.

The spelling of 49170144 in words is "forty-nine million, one hundred seventy thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 167 334 501 668 1002 1336 2004 2672 3067 4008 5344 6134 8016 9201 12268 16032 18402 24536 36804 49072 73608 98144 147216 294432 512189 1024378 1536567 2048756 3073134 4097512 6146268 8195024 12292536 16390048 24585072 49170144