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18086952 = 23313291999
BaseRepresentation
bin100010011111…
…1110000101000
31021000220122010
41010333300220
514112240302
61443355520
7306510432
oct104776050
937026563
1018086952
11a233aa4
126082ba0
133993750
14258b652
1518c416c
hex113fc28

18086952 has 64 divisors (see below), whose sum is σ = 50400000. Its totient is φ = 5370624.

The previous prime is 18086941. The next prime is 18086983. The reversal of 18086952 is 25968081.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 18086952.

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, 8049 + ... + 10047.

It is an arithmetic number, because the mean of its divisors is an integer number (787500).

Almost surely, 218086952 is an apocalyptic number.

18086952 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 18086952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25200000).

18086952 is an abundant number, since it is smaller than the sum of its proper divisors (32313048).

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

18086952 is a wasteful number, since it uses less digits than its factorization.

18086952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 18086952 is about 4252.8757329600. The cubic root of 18086952 is about 262.4954593319.

The spelling of 18086952 in words is "eighteen million, eighty-six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 174 232 312 348 377 696 754 1131 1508 1999 2262 3016 3998 4524 5997 7996 9048 11994 15992 23988 25987 47976 51974 57971 77961 103948 115942 155922 173913 207896 231884 311844 347826 463768 623688 695652 753623 1391304 1507246 2260869 3014492 4521738 6028984 9043476 18086952