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18664992 = 253419379
BaseRepresentation
bin100011100110…
…0111000100000
31022010021120000
41013030320200
514234234432
61504020000
7314435613
oct107147040
938107500
1018664992
11a599315
126301600
133b36898
14269c17a
15198a57c
hex11cce20

18664992 has 120 divisors (see below), whose sum is σ = 57934800. Its totient is φ = 5878656.

The previous prime is 18664981. The next prime is 18664993. The reversal of 18664992 is 29946681.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (18664993) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49059 + ... + 49437.

It is an arithmetic number, because the mean of its divisors is an integer number (482790).

Almost surely, 218664992 is an apocalyptic number.

18664992 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 18664992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28967400).

18664992 is an abundant number, since it is smaller than the sum of its proper divisors (39269808).

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

18664992 is a wasteful number, since it uses less digits than its factorization.

18664992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 403 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 18664992 is about 4320.2999895841. The cubic root of 18664992 is about 265.2625474386.

The spelling of 18664992 in words is "eighteen million, six hundred sixty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 81 96 108 114 144 152 162 171 216 228 288 304 324 342 379 432 456 513 608 648 684 758 864 912 1026 1137 1296 1368 1516 1539 1824 2052 2274 2592 2736 3032 3078 3411 4104 4548 5472 6064 6156 6822 7201 8208 9096 10233 12128 12312 13644 14402 16416 18192 20466 21603 24624 27288 28804 30699 36384 40932 43206 49248 54576 57608 61398 64809 81864 86412 109152 115216 122796 129618 163728 172824 194427 230432 245592 259236 327456 345648 388854 491184 518472 583281 691296 777708 982368 1036944 1166562 1555416 2073888 2333124 3110832 4666248 6221664 9332496 18664992