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248525992 = 231113217983
BaseRepresentation
bin11101101000000…
…11010010101000
3122022122102120101
432310003102220
51002110312432
640354435144
76105302401
oct1664032250
9568572511
10248525992
11118317290
126b292ab4
133c647800
14250149a8
1516c424e7
hexed034a8

248525992 has 96 divisors (see below), whose sum is σ = 583433280. Its totient is φ = 98042880.

The previous prime is 248525951. The next prime is 248525993. The reversal of 248525992 is 299525842.

It is not an unprimeable number, because it can be changed into a prime (248525993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252333 + ... + 253315.

It is an arithmetic number, because the mean of its divisors is an integer number (6077430).

Almost surely, 2248525992 is an apocalyptic number.

248525992 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248525992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291716640).

248525992 is an abundant number, since it is smaller than the sum of its proper divisors (334907288).

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

248525992 is a wasteful number, since it uses less digits than its factorization.

248525992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1026 counting only the distinct ones).

The product of its digits is 518400, while the sum is 46.

The square root of 248525992 is about 15764.7071650570. The cubic root of 248525992 is about 628.7199945366.

The spelling of 248525992 in words is "two hundred forty-eight million, five hundred twenty-five thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 13 17 22 26 34 44 52 68 88 104 136 143 169 187 221 286 338 374 442 572 676 748 884 983 1144 1352 1496 1768 1859 1966 2431 2873 3718 3932 4862 5746 7436 7864 9724 10813 11492 12779 14872 16711 19448 21626 22984 25558 31603 33422 43252 51116 63206 66844 86504 102232 126412 133688 140569 166127 183821 217243 252824 281138 332254 367642 434486 562276 664508 735284 868972 1124552 1329016 1470568 1737944 1827397 2389673 2824159 3654794 4779346 5648318 7309588 9558692 11296636 14619176 19117384 22593272 31065749 62131498 124262996 248525992