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23887872 = 21536
BaseRepresentation
bin101101100100…
…0000000000000
31122221122000000
41123020000000
522103402442
62212000000
7410020641
oct133100000
948848000
1023887872
1112536348
128000000
134c44c48
14325b6c8
15216cd4c
hex16c8000

23887872 has 112 divisors (see below), whose sum is σ = 71629755. Its totient is φ = 7962624.

The previous prime is 23887849. The next prime is 23887933. The reversal of 23887872 is 27878832.

The cubic root of 23887872 is 288.

It is a perfect power (a cube), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (4!)4 ⋅ (3!)2 ⋅ 2!.

It can be written as a sum of positive squares in only one way, i.e., 11943936 + 11943936 = 3456^2 + 3456^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3456.

Its product of digits (301056) is a multiple of the sum of its prime factors (48).

It is an enlightened number because it begins with the concatenation of its prime factors (23).

It is a nialpdrome in base 12.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 7962623 + 7962624 + 7962625.

Almost surely, 223887872 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 23887872

23887872 is an abundant number, since it is smaller than the sum of its proper divisors (47741883).

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

23887872 is an frugal number, since it uses more digits than its factorization.

23887872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 5 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 23887872 is about 4887.5220715614.

The spelling of 23887872 in words is "twenty-three million, eight hundred eighty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1024 1152 1296 1458 1536 1728 1944 2048 2304 2592 2916 3072 3456 3888 4096 4608 5184 5832 6144 6912 7776 8192 9216 10368 11664 12288 13824 15552 16384 18432 20736 23328 24576 27648 31104 32768 36864 41472 46656 49152 55296 62208 73728 82944 93312 98304 110592 124416 147456 165888 186624 221184 248832 294912 331776 373248 442368 497664 663552 746496 884736 995328 1327104 1492992 1990656 2654208 2985984 3981312 5971968 7962624 11943936 23887872