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50379264 = 293213292
BaseRepresentation
bin1100000000101…
…1101000000000
310111210112100200
43000023220000
5100344114024
64555445200
71151134215
oct300135000
9114715320
1050379264
112648a761
1214a56800
13a58bc20
146995b0c
1546522c9
hex300ba00

50379264 has 180 divisors, whose sum is σ = 162168006. Its totient is φ = 14966784.

The previous prime is 50379233. The next prime is 50379281. The reversal of 50379264 is 46297305.

50379264 is a `hidden beast` number, since 503 + 7 + 92 + 64 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 36000000 + 14379264 = 6000^2 + 3792^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1737202 + ... + 1737230.

Almost surely, 250379264 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 50379264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81084003).

50379264 is an abundant number, since it is smaller than the sum of its proper divisors (111788742).

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

50379264 is a wasteful number, since it uses less digits than its factorization.

50379264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 50379264 is about 7097.8351629212. The cubic root of 50379264 is about 369.3322849074.

The spelling of 50379264 in words is "fifty million, three hundred seventy-nine thousand, two hundred sixty-four".