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18008952 = 23313197293
BaseRepresentation
bin100010010110…
…0101101111000
31020212221122020
41010230231320
514102241302
61441554440
7306034143
oct104545570
936787566
1018008952
11a190435
126045a20
1339670b0
14256b05a
1518aaebc
hex112cb78

18008952 has 64 divisors (see below), whose sum is σ = 48898080. Its totient is φ = 5494272.

The previous prime is 18008917. The next prime is 18008989. The reversal of 18008952 is 25980081.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61318 + ... + 61610.

Almost surely, 218008952 is an apocalyptic number.

18008952 is a gapful number since it is divisible by the number (12) 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 18008952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24449040).

18008952 is an abundant number, since it is smaller than the sum of its proper divisors (30889128).

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

18008952 is a wasteful number, since it uses less digits than its factorization.

18008952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 18008952 is about 4243.6955592973. The cubic root of 18008952 is about 262.1175782889.

The spelling of 18008952 in words is "eighteen million, eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 197 293 312 394 586 591 788 879 1172 1182 1576 1758 2344 2364 2561 3516 3809 4728 5122 7032 7618 7683 10244 11427 15236 15366 20488 22854 30472 30732 45708 57721 61464 91416 115442 173163 230884 346326 461768 692652 750373 1385304 1500746 2251119 3001492 4502238 6002984 9004476 18008952