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23289792 = 2631011201
BaseRepresentation
bin101100011010…
…1111111000000
31121211020120220
41120311333000
521430233132
62151103040
7401650161
oct130657700
947736526
1023289792
1112167a69
127971a80
134a95956
143143768
1520a0a2c
hex1635fc0

23289792 has 56 divisors (see below), whose sum is σ = 62282832. Its totient is φ = 7680000.

The previous prime is 23289767. The next prime is 23289793. The reversal of 23289792 is 29798232.

It is a super-2 number, since 2×232897922 = 1084828822806528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23289793) 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 7 ways as a sum of consecutive naturals, for example, 18792 + ... + 19992.

Almost surely, 223289792 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 23289792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31141416).

23289792 is an abundant number, since it is smaller than the sum of its proper divisors (38993040).

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

23289792 is a wasteful number, since it uses less digits than its factorization.

23289792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1307 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 23289792 is about 4825.9498546918. The cubic root of 23289792 is about 285.5761076609.

The spelling of 23289792 in words is "twenty-three million, two hundred eighty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 192 202 303 404 606 808 1201 1212 1616 2402 2424 3232 3603 4804 4848 6464 7206 9608 9696 14412 19216 19392 28824 38432 57648 76864 115296 121301 230592 242602 363903 485204 727806 970408 1455612 1940816 2911224 3881632 5822448 7763264 11644896 23289792