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21629982 = 23112314249
BaseRepresentation
bin101001010000…
…0110000011110
31111200220202110
41102200300132
521014124412
62051334450
7351565113
oct122406036
944626673
1021629982
1111233a20
1272b1426
13463430a
142c3090a
151d73d3c
hex14a0c1e

21629982 has 32 divisors (see below), whose sum is σ = 49248000. Its totient is φ = 6269120.

The previous prime is 21629977. The next prime is 21630013. The reversal of 21629982 is 28992612.

It is a super-2 number, since 2×216299822 = 935712242640648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21629982.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5607 + ... + 8642.

It is an arithmetic number, because the mean of its divisors is an integer number (1539000).

Almost surely, 221629982 is an apocalyptic number.

21629982 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21629982 is an abundant number, since it is smaller than the sum of its proper divisors (27618018).

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

21629982 is a wasteful number, since it uses less digits than its factorization.

21629982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14288.

The product of its digits is 31104, while the sum is 39.

The square root of 21629982 is about 4650.8044465447. The cubic root of 21629982 is about 278.6241261064.

Subtracting from 21629982 its product of digits (31104), we obtain a triangular number (21598878 = T6572).

It can be divided in two parts, 21 and 629982, that added together give a triangular number (630003 = T1122).

The spelling of 21629982 in words is "twenty-one million, six hundred twenty-nine thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 759 1518 14249 28498 42747 85494 156739 313478 327727 470217 655454 940434 983181 1966362 3604997 7209994 10814991 21629982