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21696288 = 2531931171
BaseRepresentation
bin101001011000…
…0111100100000
31111211021201020
41102300330200
521023240123
62053005440
7352262325
oct122607440
944737636
1021696288
1111279819
127323880
134658553
142c4ab4c
151d887e3
hex14b0f20

21696288 has 48 divisors (see below), whose sum is σ = 57296736. Its totient is φ = 7188480.

The previous prime is 21696277. The next prime is 21696307. The reversal of 21696288 is 88269612.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17943 + ... + 19113.

It is an arithmetic number, because the mean of its divisors is an integer number (1193682).

Almost surely, 221696288 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 21696288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28648368).

21696288 is an abundant number, since it is smaller than the sum of its proper divisors (35600448).

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

21696288 is a wasteful number, since it uses less digits than its factorization.

21696288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1369 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 21696288 is about 4657.9274361029. The cubic root of 21696288 is about 278.9085400553.

The spelling of 21696288 in words is "twenty-one million, six hundred ninety-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 193 386 579 772 1158 1171 1544 2316 2342 3088 3513 4632 4684 6176 7026 9264 9368 14052 18528 18736 28104 37472 56208 112416 226003 452006 678009 904012 1356018 1808024 2712036 3616048 5424072 7232096 10848144 21696288