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23856042 = 2372531531
BaseRepresentation
bin101101100000…
…0001110101010
31122220000100010
41123000032222
522101343132
62211152350
7406526100
oct133001652
948800303
1023856042
1112514441
127ba56b6
134c33602
14324dc70
1521636cc
hex16c03aa

23856042 has 48 divisors (see below), whose sum is σ = 56585952. Its totient is φ = 6683040.

The previous prime is 23856031. The next prime is 23856043. The reversal of 23856042 is 24065832.

It is a super-2 number, since 2×238560422 = 1138221479811528, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (23856043) 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 23 ways as a sum of consecutive naturals, for example, 14817 + ... + 16347.

It is an arithmetic number, because the mean of its divisors is an integer number (1178874).

Almost surely, 223856042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23856042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28292976).

23856042 is an abundant number, since it is smaller than the sum of its proper divisors (32729910).

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

23856042 is a wasteful number, since it uses less digits than its factorization.

23856042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 23856042 is about 4884.2647348398. The cubic root of 23856042 is about 287.8720255110.

It can be divided in two parts, 238 and 56042, that added together give a triangular number (56280 = T335).

The spelling of 23856042 in words is "twenty-three million, eight hundred fifty-six thousand, forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 53 98 106 147 159 294 318 371 742 1113 1531 2226 2597 3062 4593 5194 7791 9186 10717 15582 21434 32151 64302 75019 81143 150038 162286 225057 243429 450114 486858 568001 1136002 1704003 3408006 3976007 7952014 11928021 23856042