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21249536 = 2973112
BaseRepresentation
bin101000100001…
…1111000000000
31110222120212212
41101003320000
520414441121
62035241252
7345422000
oct121037000
943876785
1021249536
1110aa4100
127149228
1345300b9
142b72000
151ceb25b
hex1443e00

21249536 has 120 divisors (see below), whose sum is σ = 54423600. Its totient is φ = 8279040.

The previous prime is 21249523. The next prime is 21249559. The reversal of 21249536 is 63594212.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (32).

Its product of digits (12960) is a multiple of the sum of its prime divisors (20).

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, 1931771 + ... + 1931781.

It is an arithmetic number, because the mean of its divisors is an integer number (453530).

Almost surely, 221249536 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 21249536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27211800).

21249536 is an abundant number, since it is smaller than the sum of its proper divisors (33174064).

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

21249536 is an frugal number, since it uses more digits than its factorization.

21249536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 20 counting only the distinct ones).

The product of its digits is 12960, while the sum is 32.

The square root of 21249536 is about 4609.7219005055. The cubic root of 21249536 is about 276.9808968219.

The spelling of 21249536 in words is "twenty-one million, two hundred forty-nine thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 121 128 154 176 196 224 242 256 308 343 352 392 448 484 512 539 616 686 704 784 847 896 968 1078 1232 1372 1408 1568 1694 1792 1936 2156 2464 2744 2816 3136 3388 3584 3773 3872 4312 4928 5488 5632 5929 6272 6776 7546 7744 8624 9856 10976 11858 12544 13552 15092 15488 17248 19712 21952 23716 25088 27104 30184 30976 34496 39424 41503 43904 47432 54208 60368 61952 68992 83006 87808 94864 108416 120736 137984 166012 175616 189728 216832 241472 275968 332024 379456 433664 482944 664048 758912 965888 1328096 1517824 1931776 2656192 3035648 5312384 10624768 21249536