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501055056 = 243217320113
BaseRepresentation
bin11101110111010…
…111111001010000
31021220211020022200
4131313113321100
52011232230211
6121415203200
715262616625
oct3567277120
91256736280
10501055056
11237918097
1211b976500
137ca643a8
144a78c34c
152dec5b56
hex1ddd7e50

501055056 has 60 divisors (see below), whose sum is σ = 1410433908. Its totient is φ = 166044672.

The previous prime is 501055033. The next prime is 501055063. The reversal of 501055056 is 650550105.

501055056 is a `hidden beast` number, since 50 + 10 + 550 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 236667456 + 264387600 = 15384^2 + 16260^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14856 + ... + 34968.

Almost surely, 2501055056 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 501055056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705216954).

501055056 is an abundant number, since it is smaller than the sum of its proper divisors (909378852).

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

501055056 is a wasteful number, since it uses less digits than its factorization.

501055056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20300 (or 20291 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 501055056 is about 22384.2591121529. The cubic root of 501055056 is about 794.2583994442.

The spelling of 501055056 in words is "five hundred one million, fifty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 173 346 519 692 1038 1384 1557 2076 2768 3114 4152 6228 8304 12456 20113 24912 40226 60339 80452 120678 160904 181017 241356 321808 362034 482712 724068 965424 1448136 2896272 3479549 6959098 10438647 13918196 20877294 27836392 31315941 41754588 55672784 62631882 83509176 125263764 167018352 250527528 501055056