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21075552 = 253447173
BaseRepresentation
bin101000001100…
…1011001100000
31110122202020000
41100121121200
520343404202
62031420000
7344065521
oct120313140
943582200
1021075552
1110995413
127084600
13449bb54
142b28848
151cb491c
hex1419660

21075552 has 120 divisors (see below), whose sum is σ = 63667296. Its totient is φ = 6835968.

The previous prime is 21075497. The next prime is 21075559. The reversal of 21075552 is 25557012.

It is a happy number.

21075552 is a `hidden beast` number, since 2 + 107 + 5 + 552 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21075559) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 121738 + ... + 121910.

Almost surely, 221075552 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 21075552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31833648).

21075552 is an abundant number, since it is smaller than the sum of its proper divisors (42591744).

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

21075552 is a wasteful number, since it uses less digits than its factorization.

21075552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 21075552 is about 4590.8116929362. The cubic root of 21075552 is about 276.2228823459. Note that the first 3 decimals are identical.

The spelling of 21075552 in words is "twenty-one million, seventy-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 81 94 96 108 141 144 162 173 188 216 282 288 324 346 376 423 432 519 564 648 692 752 846 864 1038 1128 1269 1296 1384 1504 1557 1692 2076 2256 2538 2592 2768 3114 3384 3807 4152 4512 4671 5076 5536 6228 6768 7614 8131 8304 9342 10152 12456 13536 14013 15228 16262 16608 18684 20304 24393 24912 28026 30456 32524 37368 40608 48786 49824 56052 60912 65048 73179 74736 97572 112104 121824 130096 146358 149472 195144 219537 224208 260192 292716 390288 439074 448416 585432 658611 780576 878148 1170864 1317222 1756296 2341728 2634444 3512592 5268888 7025184 10537776 21075552