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18856272 = 243834733
BaseRepresentation
bin100011111101…
…1100101010000
31022110222221110
41013323211100
514311400042
61512053320
7316163361
oct107734520
938428843
1018856272
11a709aa6
126394240
133ba2976
14270bb68
1519c709c
hex11fb950

18856272 has 40 divisors (see below), whose sum is σ = 49309344. Its totient is φ = 6208384.

The previous prime is 18856267. The next prime is 18856301. The reversal of 18856272 is 27265881.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 18856272.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1618 + ... + 6350.

Almost surely, 218856272 is an apocalyptic number.

18856272 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 18856272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24654672).

18856272 is an abundant number, since it is smaller than the sum of its proper divisors (30453072).

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

18856272 is a wasteful number, since it uses less digits than its factorization.

18856272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4827 (or 4821 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 18856272 is about 4342.3809137385. The cubic root of 18856272 is about 266.1656119079.

The spelling of 18856272 in words is "eighteen million, eight hundred fifty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 664 996 1328 1992 3984 4733 9466 14199 18932 28398 37864 56796 75728 113592 227184 392839 785678 1178517 1571356 2357034 3142712 4714068 6285424 9428136 18856272