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23908608 = 28341153
BaseRepresentation
bin101101100110…
…1000100000000
31122222200110000
41123031010000
522110033413
62212240000
7410135253
oct133150400
948880400
1023908608
111254a989
128010000
134c51509
14326509a
152174073
hex16cd100

23908608 has 90 divisors (see below), whose sum is σ = 71352974. Its totient is φ = 7962624.

The previous prime is 23908607. The next prime is 23908627. The reversal of 23908608 is 80680932.

It can be written as a sum of positive squares in only one way, i.e., 22581504 + 1327104 = 4752^2 + 1152^2 .

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

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (23908601) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20160 + ... + 21312.

Almost surely, 223908608 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 23908608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35676487).

23908608 is an abundant number, since it is smaller than the sum of its proper divisors (47444366).

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

23908608 is an equidigital number, since it uses as much as digits as its factorization.

23908608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 23908608 is about 4889.6429317487. The cubic root of 23908608 is about 288.0833092323.

23908608 divided by its sum of digits (36) gives a triangular number (664128 = T1152).

Subtracting from 23908608 its product of nonzero digits (20736), we obtain a cube (23887872 = 2883).

The spelling of 23908608 in words is "twenty-three million, nine hundred eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1153 1296 1728 2304 2306 2592 3456 3459 4612 5184 6912 6918 9224 10368 10377 13836 18448 20736 20754 27672 31131 36896 41508 55344 62262 73792 83016 93393 110688 124524 147584 166032 186786 221376 249048 295168 332064 373572 442752 498096 664128 747144 885504 996192 1328256 1494288 1992384 2656512 2988576 3984768 5977152 7969536 11954304 23908608