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18896864 = 257292909
BaseRepresentation
bin100100000010…
…1011111100000
31022120001121212
41020011133200
514314144424
61513005252
7316422620
oct110053740
938501555
1018896864
11a737548
1263b3828
133bb829c
14271c880
1519d410e
hex12057e0

18896864 has 48 divisors (see below), whose sum is σ = 43999200. Its totient is φ = 7816704.

The previous prime is 18896833. The next prime is 18896897. The reversal of 18896864 is 46869881.

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 7 ways as a sum of consecutive naturals, for example, 5042 + ... + 7950.

It is an arithmetic number, because the mean of its divisors is an integer number (916650).

Almost surely, 218896864 is an apocalyptic number.

18896864 is a gapful number since it is divisible by the number (14) 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 18896864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21999600).

18896864 is an abundant number, since it is smaller than the sum of its proper divisors (25102336).

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

18896864 is a wasteful number, since it uses less digits than its factorization.

18896864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2955 (or 2947 counting only the distinct ones).

The product of its digits is 663552, while the sum is 50.

The square root of 18896864 is about 4347.0523346286. The cubic root of 18896864 is about 266.3564670785.

The spelling of 18896864 in words is "eighteen million, eight hundred ninety-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1624 2909 3248 5818 6496 11636 20363 23272 40726 46544 81452 84361 93088 162904 168722 325808 337444 590527 651616 674888 1181054 1349776 2362108 2699552 4724216 9448432 18896864