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23875968 = 27397641
BaseRepresentation
bin101101100010…
…1000110000000
31122221000200010
41123011012000
522103012333
62211424520
7406641144
oct133050600
948830603
1023875968
1112528406
127bb5140
134c3c6bc
143257224
152169563
hex16c5180

23875968 has 64 divisors (see below), whose sum is σ = 64174320. Its totient is φ = 7864320.

The previous prime is 23875963. The next prime is 23875979. The reversal of 23875968 is 86957832.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23875963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36928 + ... + 37568.

Almost surely, 223875968 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 23875968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32087160).

23875968 is an abundant number, since it is smaller than the sum of its proper divisors (40298352).

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

23875968 is an equidigital number, since it uses as much as digits as its factorization.

23875968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 743 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 23875968 is about 4886.3041247962. The cubic root of 23875968 is about 287.9521525450.

The spelling of 23875968 in words is "twenty-three million, eight hundred seventy-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 291 384 388 582 641 776 1164 1282 1552 1923 2328 2564 3104 3846 4656 5128 6208 7692 9312 10256 12416 15384 18624 20512 30768 37248 41024 61536 62177 82048 123072 124354 186531 246144 248708 373062 497416 746124 994832 1492248 1989664 2984496 3979328 5968992 7958656 11937984 23875968