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23672928 = 253832971
BaseRepresentation
bin101101001001…
…1100001100000
31122112201011010
41122103201200
522030013203
62203220520
7405134166
oct132234140
948481133
1023672928
11123a9904
127b17740
134b9b166
143203236
152129303
hex1693860

23672928 has 48 divisors (see below), whose sum is σ = 62911296. Its totient is φ = 7793280.

The previous prime is 23672923. The next prime is 23672939. The reversal of 23672928 is 82927632.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23672921) 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, 6483 + ... + 9453.

It is an arithmetic number, because the mean of its divisors is an integer number (1310652).

Almost surely, 223672928 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 23672928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31455648).

23672928 is an abundant number, since it is smaller than the sum of its proper divisors (39238368).

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

23672928 is a wasteful number, since it uses less digits than its factorization.

23672928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3067 (or 3059 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 23672928 is about 4865.4833264538. The cubic root of 23672928 is about 287.1335843714.

The spelling of 23672928 in words is "twenty-three million, six hundred seventy-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1328 1992 2656 2971 3984 5942 7968 8913 11884 17826 23768 35652 47536 71304 95072 142608 246593 285216 493186 739779 986372 1479558 1972744 2959116 3945488 5918232 7890976 11836464 23672928