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23763272 = 2313415573
BaseRepresentation
bin101101010100…
…1100101001000
31122201022002012
41122221211020
522040411042
62205155052
7405661451
oct132514510
948638065
1023763272
1112460775
127b5ba88
134c00310
143228128
152145e82
hex16a9948

23763272 has 32 divisors (see below), whose sum is σ = 49162680. Its totient is φ = 10698240.

The previous prime is 23763251. The next prime is 23763277. The reversal of 23763272 is 27236732.

It can be written as a sum of positive squares in 4 ways, for example, as 3818116 + 19945156 = 1954^2 + 4466^2 .

It is a super-2 number, since 2×237632722 = 1129386192291968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23763277) by changing a digit.

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, 1478 + ... + 7050.

Almost surely, 223763272 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 23763272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24581340).

23763272 is an abundant number, since it is smaller than the sum of its proper divisors (25399408).

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

23763272 is a wasteful number, since it uses less digits than its factorization.

23763272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5633 (or 5629 counting only the distinct ones).

The product of its digits is 21168, while the sum is 32.

The square root of 23763272 is about 4874.7586606929. The cubic root of 23763272 is about 287.4983873886.

The spelling of 23763272 in words is "twenty-three million, seven hundred sixty-three thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 26 41 52 82 104 164 328 533 1066 2132 4264 5573 11146 22292 44584 72449 144898 228493 289796 456986 579592 913972 1827944 2970409 5940818 11881636 23763272