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23643872 = 257217887
BaseRepresentation
bin101101000110…
…0011011100000
31122111020021222
41122030123200
522023100442
62202434212
7404653400
oct132143340
948436258
1023643872
1112389a9a
127b02968
134b8ab75
1431d6800
1521208d2
hex168c6e0

23643872 has 72 divisors (see below), whose sum is σ = 57398544. Its totient is φ = 9526272.

The previous prime is 23643863. The next prime is 23643877. The reversal of 23643872 is 27834632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23643877) 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 11 ways as a sum of consecutive naturals, for example, 26213 + ... + 27099.

It is an arithmetic number, because the mean of its divisors is an integer number (797202).

Almost surely, 223643872 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 23643872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28699272).

23643872 is an abundant number, since it is smaller than the sum of its proper divisors (33754672).

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

23643872 is a wasteful number, since it uses less digits than its factorization.

23643872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 913 counting only the distinct ones).

The product of its digits is 48384, while the sum is 35.

The square root of 23643872 is about 4862.4964781478. The cubic root of 23643872 is about 287.0160609691.

The spelling of 23643872 in words is "twenty-three million, six hundred forty-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 68 98 112 119 136 196 224 238 272 392 476 544 784 833 887 952 1568 1666 1774 1904 3332 3548 3808 6209 6664 7096 12418 13328 14192 15079 24836 26656 28384 30158 43463 49672 60316 86926 99344 105553 120632 173852 198688 211106 241264 347704 422212 482528 695408 738871 844424 1390816 1477742 1688848 2955484 3377696 5910968 11821936 23643872