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508114048 = 2713283283
BaseRepresentation
bin11110010010010…
…011010010000000
31022102002212102211
4132102103102000
52020034122143
6122230351504
715406620031
oct3622232200
91272085384
10508114048
112408a9672
121221bb594
1381366400
144b6a8a88
152e91c49d
hex1e493480

508114048 has 96 divisors (see below), whose sum is σ = 1113240240. Its totient is φ = 230870016.

The previous prime is 508114031. The next prime is 508114049. The reversal of 508114048 is 840411805.

It is not an unprimeable number, because it can be changed into a prime (508114049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1795315 + ... + 1795597.

Almost surely, 2508114048 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 508114048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556620120).

508114048 is an abundant number, since it is smaller than the sum of its proper divisors (605126192).

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

508114048 is a wasteful number, since it uses less digits than its factorization.

508114048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 31.

The square root of 508114048 is about 22541.3852280644. The cubic root of 508114048 is about 797.9709245839.

The spelling of 508114048 in words is "five hundred eight million, one hundred fourteen thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 83 104 128 166 169 208 283 332 338 416 566 664 676 832 1079 1132 1328 1352 1664 2158 2264 2656 2704 3679 4316 4528 5312 5408 7358 8632 9056 10624 10816 14027 14716 17264 18112 21632 23489 28054 29432 34528 36224 46978 47827 56108 58864 69056 93956 95654 112216 117728 138112 187912 191308 224432 235456 305357 375824 382616 448864 470912 610714 751648 765232 897728 1221428 1503296 1530464 1795456 2442856 3006592 3060928 3969641 4885712 6121856 7939282 9771424 15878564 19542848 31757128 39085696 63514256 127028512 254057024 508114048