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50106368 = 21213941
BaseRepresentation
bin1011111100100…
…1000000000000
310111021200000102
42333021000000
5100311400433
64545541532
71145616464
oct277110000
9114250012
1050106368
1126313724
12149448a8
13a4c4950
1469244a4
1545eb4e8
hex2fc9000

50106368 has 52 divisors (see below), whose sum is σ = 108022908. Its totient is φ = 23101440.

The previous prime is 50106349. The next prime is 50106379. The reversal of 50106368 is 86360105.

It can be written as a sum of positive squares in 2 ways, for example, as 18386944 + 31719424 = 4288^2 + 5632^2 .

It is a tau number, because it is divible by the number of its divisors (52).

It is a super-2 number, since 2×501063682 = 5021296228302848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 50106368.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52778 + ... + 53718.

Almost surely, 250106368 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 50106368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54011454).

50106368 is an abundant number, since it is smaller than the sum of its proper divisors (57916540).

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

50106368 is an equidigital number, since it uses as much as digits as its factorization.

50106368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 50106368 is about 7078.5851693682. The cubic root of 50106368 is about 368.6642068723.

The spelling of 50106368 in words is "fifty million, one hundred six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 941 1024 1664 1882 2048 3328 3764 4096 6656 7528 12233 13312 15056 24466 26624 30112 48932 53248 60224 97864 120448 195728 240896 391456 481792 782912 963584 1565824 1927168 3131648 3854336 6263296 12526592 25053184 50106368