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23913792 = 26347659
BaseRepresentation
bin101101100111…
…0010101000000
31122222221120000
41123032111000
522110220132
62212320000
7410156340
oct133162500
948887500
1023913792
1112553871
128013000
134c53996
143266d20
15217587c
hex16ce540

23913792 has 140 divisors (see below), whose sum is σ = 81137760. Its totient is φ = 6822144.

The previous prime is 23913779. The next prime is 23913797. The reversal of 23913792 is 29731932.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23913797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35959 + ... + 36617.

Almost surely, 223913792 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 23913792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40568880).

23913792 is an abundant number, since it is smaller than the sum of its proper divisors (57223968).

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

23913792 is an equidigital number, since it uses as much as digits as its factorization.

23913792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 671 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 23913792 is about 4890.1730030746. The cubic root of 23913792 is about 288.1041290133.

The spelling of 23913792 in words is "twenty-three million, nine hundred thirteen thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 659 672 756 864 1008 1134 1296 1318 1344 1512 1728 1977 2016 2268 2592 2636 3024 3954 4032 4536 4613 5184 5272 5931 6048 7908 9072 9226 10544 11862 12096 13839 15816 17793 18144 18452 21088 23724 27678 31632 35586 36288 36904 41517 42176 47448 53379 55356 63264 71172 73808 83034 94896 106758 110712 124551 126528 142344 147616 166068 189792 213516 221424 249102 284688 295232 332136 373653 379584 427032 442848 498204 569376 664272 747306 854064 885696 996408 1138752 1328544 1494612 1708128 1992816 2657088 2989224 3416256 3985632 5978448 7971264 11956896 23913792