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253494592 = 26132231019
BaseRepresentation
bin11110001110000…
…00010101000000
3122122222212012121
433013000111000
51004343311332
641053134024
76165445201
oct1707002500
9578885177
10253494592
1112010026a
1270a8a314
1340697200
14259495a8
15173c4797
hexf1c0540

253494592 has 84 divisors (see below), whose sum is σ = 568939680. Its totient is φ = 111800832.

The previous prime is 253494587. The next prime is 253494613. The reversal of 253494592 is 295494352.

It is a super-3 number, since 3×2534945923 (a number of 26 digits) contains 333 as substring.

Its product of digits (388800) is a multiple of the sum of its prime factors (1080).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248259 + ... + 249277.

Almost surely, 2253494592 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 253494592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284469840).

253494592 is an abundant number, since it is smaller than the sum of its proper divisors (315445088).

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

253494592 is a wasteful number, since it uses less digits than its factorization.

253494592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1057 counting only the distinct ones).

The product of its digits is 388800, while the sum is 43.

The square root of 253494592 is about 15921.5134958960. The cubic root of 253494592 is about 632.8822267490.

The spelling of 253494592 in words is "two hundred fifty-three million, four hundred ninety-four thousand, five hundred ninety-two".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 169 184 208 299 338 368 416 598 676 736 832 1019 1196 1352 1472 2038 2392 2704 3887 4076 4784 5408 7774 8152 9568 10816 13247 15548 16304 19136 23437 26494 31096 32608 46874 52988 62192 65216 93748 105976 124384 172211 187496 211952 248768 304681 344422 374992 423904 609362 688844 749984 847808 1218724 1377688 1499968 2437448 2755376 3960853 4874896 5510752 7921706 9749792 11021504 15843412 19499584 31686824 63373648 126747296 253494592