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23385792 = 2633492
BaseRepresentation
bin101100100110…
…1011011000000
31122000010021110
41121031123000
521441321132
62153123320
7402530103
oct131153300
948003243
1023385792
1112223101
1279b9540
134aca561
14316a73a
1520be1cc
hex164d6c0

23385792 has 42 divisors (see below), whose sum is σ = 62052708. Its totient is φ = 7772928.

The previous prime is 23385781. The next prime is 23385797. The reversal of 23385792 is 29758332.

It is a self number, because there is not a number n which added to its sum of digits gives 23385792.

It is not an unprimeable number, because it can be changed into a prime (23385797) 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 5 ways as a sum of consecutive naturals, for example, 66834 + ... + 67182.

Almost surely, 223385792 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 23385792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31026354).

23385792 is an abundant number, since it is smaller than the sum of its proper divisors (38666916).

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

23385792 is an frugal number, since it uses more digits than its factorization.

23385792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 354 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 23385792 is about 4835.8858547323. The cubic root of 23385792 is about 285.9679492015.

The spelling of 23385792 in words is "twenty-three million, three hundred eighty-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 349 698 1047 1396 2094 2792 4188 5584 8376 11168 16752 22336 33504 67008 121801 243602 365403 487204 730806 974408 1461612 1948816 2923224 3897632 5846448 7795264 11692896 23385792