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23263504 = 24111311009
BaseRepresentation
bin101100010111…
…1100100010000
31121202220112021
41120233210100
521423413004
62150341224
7401510425
oct130574420
947686467
1023263504
111214a240
12795a814
134a869b4
143137d4c
152097d54
hex162f910

23263504 has 40 divisors (see below), whose sum is σ = 49595040. Its totient is φ = 10483200.

The previous prime is 23263501. The next prime is 23263507. The reversal of 23263504 is 40536232.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23263501) and next prime (23263507).

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23263501) 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 7 ways as a sum of consecutive naturals, for example, 22552 + ... + 23560.

It is an arithmetic number, because the mean of its divisors is an integer number (1239876).

Almost surely, 223263504 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 23263504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24797520).

23263504 is an abundant number, since it is smaller than the sum of its proper divisors (26331536).

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

23263504 is a wasteful number, since it uses less digits than its factorization.

23263504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 23263504 is about 4823.2254767945. The cubic root of 23263504 is about 285.4686206404.

Adding to 23263504 its reverse (40536232), we get a palindrome (63799736).

It can be divided in two parts, 232 and 63504, that added together give a palindrome (63736).

The spelling of 23263504 in words is "twenty-three million, two hundred sixty-three thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 131 176 262 524 1009 1048 1441 2018 2096 2882 4036 5764 8072 11099 11528 16144 22198 23056 44396 88792 132179 177584 264358 528716 1057432 1453969 2114864 2907938 5815876 11631752 23263504