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507085056 = 283373363
BaseRepresentation
bin11110001110011…
…000000100000000
31022100011120221000
4132032120010000
52014303210211
6122152332000
715365103042
oct3616300400
91270146830
10507085056
11240266565
121219a4000
1381095c3a
144b4bba92
152e7b7656
hex1e398100

507085056 has 72 divisors (see below), whose sum is σ = 1499560160. Its totient is φ = 169026048.

The previous prime is 507084961. The next prime is 507085069. The reversal of 507085056 is 650580705.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 507085056.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29770 + ... + 43593.

Almost surely, 2507085056 is an apocalyptic number.

It is an amenable number.

507085056 is an abundant number, since it is smaller than the sum of its proper divisors (992475104).

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

507085056 is an equidigital number, since it uses as much as digits as its factorization.

507085056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73388 (or 73368 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 507085056 is about 22518.5491539753. The cubic root of 507085056 is about 797.4318982213.

The spelling of 507085056 in words is "five hundred seven million, eighty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 73363 146726 220089 293452 440178 586904 660267 880356 1173808 1320534 1760712 1980801 2347616 2641068 3521424 3961602 4695232 5282136 7042848 7923204 9390464 10564272 14085696 15846408 18780928 21128544 28171392 31692816 42257088 56342784 63385632 84514176 126771264 169028352 253542528 507085056