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23126528 = 29172657
BaseRepresentation
bin101100000111…
…0001000000000
31121111221122002
41120032020000
521410022103
62143403132
7400400165
oct130161000
947457562
1023126528
1112066337
1278b34a8
134a39549
14310006c
15206c488
hex160e200

23126528 has 40 divisors (see below), whose sum is σ = 48944412. Its totient is φ = 10878976.

The previous prime is 23126513. The next prime is 23126531. The reversal of 23126528 is 82562132.

It can be written as a sum of positive squares in 2 ways, for example, as 21977344 + 1149184 = 4688^2 + 1072^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23126528.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7376 + ... + 10032.

Almost surely, 223126528 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 23126528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24472206).

23126528 is an abundant number, since it is smaller than the sum of its proper divisors (25817884).

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

23126528 is an equidigital number, since it uses as much as digits as its factorization.

23126528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692 (or 2676 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 23126528 is about 4809.0048866683. The cubic root of 23126528 is about 284.9072356349.

The spelling of 23126528 in words is "twenty-three million, one hundred twenty-six thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1088 2176 2657 4352 5314 8704 10628 21256 42512 45169 85024 90338 170048 180676 340096 361352 680192 722704 1360384 1445408 2890816 5781632 11563264 23126528