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18145792 = 2976183
BaseRepresentation
bin100010100111…
…0001000000000
31021010220100101
41011032020000
514121131132
61444532144
7310144120
oct105161000
937126311
1018145792
11a274225
1260b1054
1339b4472
1425a4c80
1518d67e7
hex114e200

18145792 has 80 divisors (see below), whose sum is σ = 42622272. Its totient is φ = 7557120.

The previous prime is 18145763. The next prime is 18145801. The reversal of 18145792 is 29754181.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 218583 + ... + 218665.

Almost surely, 218145792 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 18145792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21311136).

18145792 is an abundant number, since it is smaller than the sum of its proper divisors (24476480).

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

18145792 is an frugal number, since it uses more digits than its factorization.

18145792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 153 counting only the distinct ones).

The product of its digits is 20160, while the sum is 37.

The square root of 18145792 is about 4259.7877881416. The cubic root of 18145792 is about 262.7797990105.

The spelling of 18145792 in words is "eighteen million, one hundred forty-five thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 83 112 122 128 166 224 244 256 332 427 448 488 512 581 664 854 896 976 1162 1328 1708 1792 1952 2324 2656 3416 3584 3904 4648 5063 5312 6832 7808 9296 10126 10624 13664 15616 18592 20252 21248 27328 31232 35441 37184 40504 42496 54656 70882 74368 81008 109312 141764 148736 162016 218624 283528 297472 324032 567056 648064 1134112 1296128 2268224 2592256 4536448 9072896 18145792