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23875952 = 2431371301
BaseRepresentation
bin101101100010…
…1000101110000
31122221000122112
41123011011300
522103012302
62211424452
7406641122
oct133050560
948830575
1023875952
11125283a1
127bb5128
134c3c6a9
143257212
152169552
hex16c5170

23875952 has 40 divisors (see below), whose sum is σ = 49080192. Its totient is φ = 11232000.

The previous prime is 23875937. The next prime is 23875963. The reversal of 23875952 is 25957832.

It is a super-2 number, since 2×238759522 = 1140122167812608, which contains 22 as substring.

It is a congruent number.

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, 17702 + ... + 19002.

Almost surely, 223875952 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 23875952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24540096).

23875952 is an abundant number, since it is smaller than the sum of its proper divisors (25204240).

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

23875952 is a wasteful number, since it uses less digits than its factorization.

23875952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1371 counting only the distinct ones).

The product of its digits is 151200, while the sum is 41.

The square root of 23875952 is about 4886.3024875666. The cubic root of 23875952 is about 287.9520882232.

The spelling of 23875952 in words is "twenty-three million, eight hundred seventy-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 31 37 62 74 124 148 248 296 496 592 1147 1301 2294 2602 4588 5204 9176 10408 18352 20816 40331 48137 80662 96274 161324 192548 322648 385096 645296 770192 1492247 2984494 5968988 11937976 23875952