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508337628484 = 227212724012
BaseRepresentation
bin1110110010110110100…
…10001010010101000100
31210121002220221010100111
413121123102022111010
531312033413102414
61025305503322404
751504036356200
oct7313322122504
91717086833314
10508337628484
11186648380154
12826292b0404
1338c22604c5a
141a864697b00
15d352ac18c4
hex765b48a544

508337628484 has 81 divisors (see below), whose sum is σ = 1045650191229. Its totient is φ = 215604547200.

The previous prime is 508337628457. The next prime is 508337628493. The reversal of 508337628484 is 484826733805.

It is a happy number.

The square root of 508337628484 is 712978.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 503279574084 + 5058054400 = 709422^2 + 71120^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1267674684 + ... + 1267675084.

Almost surely, 2508337628484 is an apocalyptic number.

508337628484 is the 712978-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 508337628484

508337628484 is an abundant number, since it is smaller than the sum of its proper divisors (537312562745).

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

508337628484 is an equidigital number, since it uses as much as digits as its factorization.

508337628484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 58.

The spelling of 508337628484 in words is "five hundred eight billion, three hundred thirty-seven million, six hundred twenty-eight thousand, four hundred eighty-four".

Divisors: 1 2 4 7 14 28 49 98 127 196 254 401 508 802 889 1604 1778 2807 3556 5614 6223 11228 12446 16129 19649 24892 32258 39298 50927 64516 78596 101854 112903 160801 203708 225806 321602 356489 451612 643204 712978 790321 1125607 1425956 1580642 2251214 2495423 3161284 4502428 4990846 6467729 7879249 9981692 12935458 15758498 20421727 25870916 31516996 40843454 45274103 81686908 90548206 142952089 181096412 285904178 316918721 571808356 633837442 1000664623 1267674884 2001329246 2593559329 4002658492 5187118658 10374237316 18154915303 36309830606 72619661212 127084407121 254168814242 508337628484