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508056304 = 24725312227
BaseRepresentation
bin11110010010000…
…101001011110000
31022101222221020011
4132102011023300
52020030300204
6122225224304
715406256500
oct3622051360
91271887204
10508056304
1124086a248
12122192094
1381346042
144b691a00
152e90a304
hex1e4852f0

508056304 has 60 divisors (see below), whose sum is σ = 1166771304. Its totient is φ = 213612672.

The previous prime is 508056293. The next prime is 508056313. The reversal of 508056304 is 403650805.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35439 + ... + 47665.

Almost surely, 2508056304 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 508056304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583385652).

508056304 is an abundant number, since it is smaller than the sum of its proper divisors (658715000).

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

508056304 is a wasteful number, since it uses less digits than its factorization.

508056304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12302 (or 12289 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 508056304 is about 22540.1043475846. The cubic root of 508056304 is about 797.9406952953.

The spelling of 508056304 in words is "five hundred eight million, fifty-six thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 49 53 56 98 106 112 196 212 371 392 424 742 784 848 1484 2597 2968 5194 5936 10388 12227 20776 24454 41552 48908 85589 97816 171178 195632 342356 599123 648031 684712 1198246 1296062 1369424 2396492 2592124 4536217 4792984 5184248 9072434 9585968 10368496 18144868 31753519 36289736 63507038 72579472 127014076 254028152 508056304