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21928896 = 2632113461
BaseRepresentation
bin101001110100…
…1101111000000
31112021002210100
41103221233000
521103211041
62102002400
7354251433
oct123515700
945232710
1021928896
1111418560
127416400
13470a3a2
142cab81a
151dd26b6
hex14e9bc0

21928896 has 84 divisors (see below), whose sum is σ = 68589144. Its totient is φ = 6643200.

The previous prime is 21928883. The next prime is 21928903. The reversal of 21928896 is 69882912.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4606 + ... + 8066.

Almost surely, 221928896 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 21928896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34294572).

21928896 is an abundant number, since it is smaller than the sum of its proper divisors (46660248).

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

21928896 is a wasteful number, since it uses less digits than its factorization.

21928896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3490 (or 3477 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 21928896 is about 4682.8299136313. The cubic root of 21928896 is about 279.9017342252.

The spelling of 21928896 in words is "twenty-one million, nine hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 3461 6336 6922 10383 13844 20766 27688 31149 38071 41532 55376 62298 76142 83064 110752 114213 124596 152284 166128 221504 228426 249192 304568 332256 342639 456852 498384 609136 664512 685278 913704 996768 1218272 1370556 1827408 1993536 2436544 2741112 3654816 5482224 7309632 10964448 21928896