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21285952 = 263789101
BaseRepresentation
bin101000100110…
…0110001000000
31111001102211121
41101030301000
520422122302
62040122024
7345633112
oct121146100
944042747
1021285952
11110194a6
127166314
13454384c
142b813b2
151d06e37
hex144cc40

21285952 has 56 divisors (see below), whose sum is σ = 44302680. Its totient is φ = 10137600.

The previous prime is 21285941. The next prime is 21285977. The reversal of 21285952 is 25958212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9834496 + 11451456 = 3136^2 + 3384^2 .

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, 210702 + ... + 210802.

Almost surely, 221285952 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 21285952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22151340).

21285952 is an abundant number, since it is smaller than the sum of its proper divisors (23016728).

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

21285952 is a wasteful number, since it uses less digits than its factorization.

21285952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 229 counting only the distinct ones).

The product of its digits is 14400, while the sum is 34.

The square root of 21285952 is about 4613.6701225814. The cubic root of 21285952 is about 277.1390301563.

The spelling of 21285952 in words is "twenty-one million, two hundred eighty-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 37 64 74 89 101 148 178 202 296 356 404 592 712 808 1184 1424 1616 2368 2848 3232 3293 3737 5696 6464 6586 7474 8989 13172 14948 17978 26344 29896 35956 52688 59792 71912 105376 119584 143824 210752 239168 287648 332593 575296 665186 1330372 2660744 5321488 10642976 21285952