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18945252 = 22367389
BaseRepresentation
bin100100001000…
…1010011100100
31022122112000000
41020101103210
514322222002
61514021300
7320013654
oct110212344
938575000
1018945252
11a76a937
126417830
133c04311
142732364
1519e361c
hex12114e4

18945252 has 84 divisors (see below), whose sum is σ = 50955660. Its totient is φ = 6158592.

The previous prime is 18945233. The next prime is 18945257. The reversal of 18945252 is 25254981.

It can be written as a sum of positive squares in 2 ways, for example, as 7001316 + 11943936 = 2646^2 + 3456^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (18945257) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 212824 + ... + 212912.

It is an arithmetic number, because the mean of its divisors is an integer number (606615).

Almost surely, 218945252 is an apocalyptic number.

18945252 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 18945252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25477830).

18945252 is an abundant number, since it is smaller than the sum of its proper divisors (32010408).

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

18945252 is an equidigital number, since it uses as much as digits as its factorization.

18945252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 167 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 18945252 is about 4352.6143867795. The cubic root of 18945252 is about 266.5836206681.

The spelling of 18945252 in words is "eighteen million, nine hundred forty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 81 89 108 146 162 178 219 243 267 292 324 356 438 486 534 657 729 801 876 972 1068 1314 1458 1602 1971 2403 2628 2916 3204 3942 4806 5913 6497 7209 7884 9612 11826 12994 14418 17739 19491 21627 23652 25988 28836 35478 38982 43254 53217 58473 64881 70956 77964 86508 106434 116946 129762 175419 212868 233892 259524 350838 526257 701676 1052514 1578771 2105028 3157542 4736313 6315084 9472626 18945252