Search a number
-
+
23563488 = 2531379239
BaseRepresentation
bin101100111100…
…0110011100000
31122100011000210
41121320303200
522013012423
62201014120
7404200134
oct131706340
948304023
1023563488
1112334663
127a84340
134b603c0
1431b53c4
152106b93
hex1678ce0

23563488 has 96 divisors (see below), whose sum is σ = 67737600. Its totient is φ = 7128576.

The previous prime is 23563483. The next prime is 23563489. The reversal of 23563488 is 88436532.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×235634882 = 1110475933452288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23563483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98473 + ... + 98711.

It is an arithmetic number, because the mean of its divisors is an integer number (705600).

Almost surely, 223563488 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 23563488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33868800).

23563488 is an abundant number, since it is smaller than the sum of its proper divisors (44174112).

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

23563488 is a wasteful number, since it uses less digits than its factorization.

23563488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 336 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 23563488 is about 4854.2237278477. The cubic root of 23563488 is about 286.6904276921.

The spelling of 23563488 in words is "twenty-three million, five hundred sixty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 79 96 104 156 158 208 237 239 312 316 416 474 478 624 632 717 948 956 1027 1248 1264 1434 1896 1912 2054 2528 2868 3081 3107 3792 3824 4108 5736 6162 6214 7584 7648 8216 9321 11472 12324 12428 16432 18642 18881 22944 24648 24856 32864 37284 37762 49296 49712 56643 74568 75524 98592 99424 113286 149136 151048 226572 245453 298272 302096 453144 490906 604192 736359 906288 981812 1472718 1812576 1963624 2945436 3927248 5890872 7854496 11781744 23563488