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23475616 = 252941617
BaseRepresentation
bin101100110001…
…1010110100000
31122011200111021
41121203112200
522002204431
62155055224
7403353013
oct131432640
948150437
1023475616
111228463a
127a41514
134b2c3c8
14319137a
1520dab11
hex16635a0

23475616 has 48 divisors (see below), whose sum is σ = 49056840. Its totient is φ = 11038720.

The previous prime is 23475601. The next prime is 23475629. The reversal of 23475616 is 61657432.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7507600 + 15968016 = 2740^2 + 3996^2 .

It is a super-2 number, since 2×234756162 = 1102209093158912, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 37740 + ... + 38356.

Almost surely, 223475616 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 23475616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24528420).

23475616 is an abundant number, since it is smaller than the sum of its proper divisors (25581224).

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

23475616 is a wasteful number, since it uses less digits than its factorization.

23475616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 689 counting only the distinct ones).

The product of its digits is 30240, while the sum is 34.

The square root of 23475616 is about 4845.1641871045. The cubic root of 23475616 is about 286.3336123603. Note that the first 3 decimals are identical.

The spelling of 23475616 in words is "twenty-three million, four hundred seventy-five thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 29 32 41 58 82 116 164 232 328 464 617 656 928 1189 1234 1312 2378 2468 4756 4936 9512 9872 17893 19024 19744 25297 35786 38048 50594 71572 101188 143144 202376 286288 404752 572576 733613 809504 1467226 2934452 5868904 11737808 23475616