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23393952 = 2532292801
BaseRepresentation
bin101100100111…
…1011010100000
31122000112110200
41121033122200
521442101302
62153225200
7402562641
oct131173240
948015420
1023393952
111222924a
127a02200
134b0119a
14316d6c8
1520c181c
hex164f6a0

23393952 has 72 divisors (see below), whose sum is σ = 68845140. Its totient is φ = 7526400.

The previous prime is 23393941. The next prime is 23393957. The reversal of 23393952 is 25939332.

It can be written as a sum of positive squares in 2 ways, for example, as 23386896 + 7056 = 4836^2 + 84^2 .

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 not an unprimeable number, because it can be changed into a prime (23393957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6952 + ... + 9752.

Almost surely, 223393952 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 23393952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34422570).

23393952 is an abundant number, since it is smaller than the sum of its proper divisors (45451188).

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

23393952 is a wasteful number, since it uses less digits than its factorization.

23393952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2846 (or 2835 counting only the distinct ones).

The product of its digits is 43740, while the sum is 36.

The square root of 23393952 is about 4836.7294735182. The cubic root of 23393952 is about 286.0012062479.

The spelling of 23393952 in words is "twenty-three million, three hundred ninety-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 2801 4176 5602 8352 8403 11204 16806 22408 25209 33612 44816 50418 67224 81229 89632 100836 134448 162458 201672 243687 268896 324916 403344 487374 649832 731061 806688 974748 1299664 1462122 1949496 2599328 2924244 3898992 5848488 7797984 11696976 23393952