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185000052 = 223172513613
BaseRepresentation
bin10110000011011…
…10000001110100
3110220002222100210
423001232001310
5334330000202
630205105420
74404321516
oct1301560164
9426088323
10185000052
1195478306
1251b58270
132c4349b3
141a7d9bb6
1511394c6c
hexb06e074

185000052 has 48 divisors (see below), whose sum is σ = 459006912. Its totient is φ = 57792000.

The previous prime is 185000041. The next prime is 185000059. The reversal of 185000052 is 250000581.

It is a junction number, because it is equal to n+sod(n) for n = 184999992 and 185000028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (185000059) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49398 + ... + 53010.

It is an arithmetic number, because the mean of its divisors is an integer number (9562644).

Almost surely, 2185000052 is an apocalyptic number.

185000052 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 185000052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229503456).

185000052 is an abundant number, since it is smaller than the sum of its proper divisors (274006860).

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

185000052 is a wasteful number, since it uses less digits than its factorization.

185000052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3888 (or 3886 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 185000052 is about 13601.4724202933. The cubic root of 185000052 is about 569.8019749173.

The spelling of 185000052 in words is "one hundred eighty-five million, fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 251 502 753 1004 1506 3012 3613 4267 7226 8534 10839 12801 14452 17068 21678 25602 43356 51204 61421 122842 184263 245684 368526 737052 906863 1813726 2720589 3627452 5441178 10882356 15416671 30833342 46250013 61666684 92500026 185000052