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23045776 = 24131011097
BaseRepresentation
bin101011111101…
…0011010010000
31121100211212021
41113322122100
521344431101
62141541224
7366612565
oct127723220
947324767
1023045776
11120106a6
127874814
134a0b870
1430bc86c
1520535a1
hex15fa690

23045776 has 40 divisors (see below), whose sum is σ = 48606264. Its totient is φ = 10521600.

The previous prime is 23045753. The next prime is 23045777. The reversal of 23045776 is 67754032.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3154176 + 19891600 = 1776^2 + 4460^2 .

It is a super-2 number, since 2×230457762 = 1062215582884352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23045777) 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, 20460 + ... + 21556.

Almost surely, 223045776 is an apocalyptic number.

23045776 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23045776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24303132).

23045776 is an abundant number, since it is smaller than the sum of its proper divisors (25560488).

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

23045776 is a wasteful number, since it uses less digits than its factorization.

23045776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 34.

The square root of 23045776 is about 4800.6016289628. The cubic root of 23045776 is about 284.5752408629.

It can be divided in two parts, 2304 and 5776, that multiplied together give a square (13307904 = 36482).

The spelling of 23045776 in words is "twenty-three million, forty-five thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 52 101 104 202 208 404 808 1097 1313 1616 2194 2626 4388 5252 8776 10504 14261 17552 21008 28522 57044 110797 114088 221594 228176 443188 886376 1440361 1772752 2880722 5761444 11522888 23045776