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508196640 = 253572173141
BaseRepresentation
bin11110010010100…
…111011100100000
31022102021001201210
4132102213130200
52020044243030
6122232230120
715410412600
oct3622473440
91272231653
10508196640
11240955726
1212223b340
1381394b93
144b6cac00
152e936bb0
hex1e4a7720

508196640 has 576 divisors, whose sum is σ = 2084963328. Its totient is φ = 103219200.

The previous prime is 508196627. The next prime is 508196653. The reversal of 508196640 is 46691805.

It is an interprime number because it is at equal distance from previous prime (508196627) and next prime (508196653).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12395020 + ... + 12395060.

It is an arithmetic number, because the mean of its divisors is an integer number (3619728).

Almost surely, 2508196640 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 508196640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042481664).

508196640 is an abundant number, since it is smaller than the sum of its proper divisors (1576766688).

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

508196640 is a wasteful number, since it uses less digits than its factorization.

508196640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 508196640 is about 22543.2171617096. The cubic root of 508196640 is about 798.0141579513.

The spelling of 508196640 in words is "five hundred eight million, one hundred ninety-six thousand, six hundred forty".