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50764688 = 2413614001
BaseRepresentation
bin1100000110100…
…1101110010000
310112112010001122
43001221232100
5100443432223
65012021412
71154331002
oct301515620
9115463048
1050764688
1126723297
1215001868
13a6954a0
146a56372
1546cb5c8
hex3069b90

50764688 has 40 divisors (see below), whose sum is σ = 107685816. Its totient is φ = 23040000.

The previous prime is 50764673. The next prime is 50764717. The reversal of 50764688 is 88646705.

It can be written as a sum of positive squares in 4 ways, for example, as 7573504 + 43191184 = 2752^2 + 6572^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10688 + ... + 14688.

Almost surely, 250764688 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 50764688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53842908).

50764688 is an abundant number, since it is smaller than the sum of its proper divisors (56921128).

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

50764688 is a wasteful number, since it uses less digits than its factorization.

50764688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4083 (or 4077 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The square root of 50764688 is about 7124.9342453106. The cubic root of 50764688 is about 370.2717458269.

The spelling of 50764688 in words is "fifty million, seven hundred sixty-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 52 61 104 122 208 244 488 793 976 1586 3172 4001 6344 8002 12688 16004 32008 52013 64016 104026 208052 244061 416104 488122 832208 976244 1952488 3172793 3904976 6345586 12691172 25382344 50764688