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18966948 = 223711131579
BaseRepresentation
bin100100001011…
…0100110100100
31022200121202120
41020112212210
514323420243
61514305540
7320134140
oct110264644
938617676
1018966948
11a785170
1264282b0
133c11160
14273a220
1519e9c83
hex12169a4

18966948 has 96 divisors (see below), whose sum is σ = 59458560. Its totient is φ = 4544640.

The previous prime is 18966931. The next prime is 18966949. The reversal of 18966948 is 84966981.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 18966948.

It is not an unprimeable number, because it can be changed into a prime (18966949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11223 + ... + 12801.

It is an arithmetic number, because the mean of its divisors is an integer number (619360).

Almost surely, 218966948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18966948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29729280).

18966948 is an abundant number, since it is smaller than the sum of its proper divisors (40491612).

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

18966948 is a wasteful number, since it uses less digits than its factorization.

18966948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1615 counting only the distinct ones).

The product of its digits is 746496, while the sum is 51.

The square root of 18966948 is about 4355.1059688600. The cubic root of 18966948 is about 266.6853452194.

The spelling of 18966948 in words is "eighteen million, nine hundred sixty-six thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1579 1716 2002 3003 3158 4004 4737 6006 6316 9474 11053 12012 17369 18948 20527 22106 33159 34738 41054 44212 52107 61581 66318 69476 82108 104214 121583 123162 132636 143689 208428 225797 243166 246324 287378 364749 431067 451594 486332 574756 677391 729498 862134 903188 1354782 1458996 1580579 1724268 2709564 3161158 4741737 6322316 9483474 18966948