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23492952 = 2332726659
BaseRepresentation
bin101100110011…
…1100101011000
31122012120021100
41121213211120
522003233302
62155311400
7403454400
oct131474530
948176240
1023492952
111229666a
127a4b560
134b37272
143197800
1520e0d1c
hex1667958

23492952 has 72 divisors (see below), whose sum is σ = 74025900. Its totient is φ = 6711264.

The previous prime is 23492927. The next prime is 23492957. The reversal of 23492952 is 25929432.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23492957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 199 + ... + 6857.

Almost surely, 223492952 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 23492952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37012950).

23492952 is an abundant number, since it is smaller than the sum of its proper divisors (50532948).

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

23492952 is a wasteful number, since it uses less digits than its factorization.

23492952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6685 (or 6671 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 23492952 is about 4846.9528572083. The cubic root of 23492952 is about 286.4040777901.

The spelling of 23492952 in words is "twenty-three million, four hundred ninety-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 6659 13318 19977 26636 39954 46613 53272 59931 79908 93226 119862 139839 159816 186452 239724 279678 326291 372904 419517 479448 559356 652582 839034 978873 1118712 1305164 1678068 1957746 2610328 2936619 3356136 3915492 5873238 7830984 11746476 23492952