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23406496 = 253753373
BaseRepresentation
bin101100101001…
…0011110100000
31122001011200021
41121102132200
521443001441
62153403224
7402644341
oct131223640
948034607
1023406496
1112237713
127a09514
134b06ac9
1431740c8
1520c53d1
hex16527a0

23406496 has 48 divisors (see below), whose sum is σ = 48349224. Its totient is φ = 11142144.

The previous prime is 23406473. The next prime is 23406511. The reversal of 23406496 is 69460432.

It can be written as a sum of positive squares in 4 ways, for example, as 23386896 + 19600 = 4836^2 + 140^2 .

It is an unprimeable number.

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, 62566 + ... + 62938.

Almost surely, 223406496 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 23406496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24174612).

23406496 is an abundant number, since it is smaller than the sum of its proper divisors (24942728).

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

23406496 is a wasteful number, since it uses less digits than its factorization.

23406496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 23406496 is about 4838.0260437497. The cubic root of 23406496 is about 286.0523157268.

It can be divided in two parts, 2340 and 6496, that added together give a square (8836 = 942).

The spelling of 23406496 in words is "twenty-three million, four hundred six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 37 53 74 106 148 212 296 373 424 592 746 848 1184 1492 1696 1961 2984 3922 5968 7844 11936 13801 15688 19769 27602 31376 39538 55204 62752 79076 110408 158152 220816 316304 441632 632608 731453 1462906 2925812 5851624 11703248 23406496