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21825414 = 23213194909
BaseRepresentation
bin101001101000…
…0011110000110
31112001211211200
41103100132012
521041403124
62055443330
7353340642
oct123203606
945054750
1021825414
1111357836
127386546
1346a2260
142c81c22
151db1bc9
hex14d0786

21825414 has 48 divisors (see below), whose sum is σ = 53617200. Its totient is φ = 6360768.

The previous prime is 21825403. The next prime is 21825439. The reversal of 21825414 is 41452812.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1992 + ... + 6900.

It is an arithmetic number, because the mean of its divisors is an integer number (1117025).

Almost surely, 221825414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21825414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26808600).

21825414 is an abundant number, since it is smaller than the sum of its proper divisors (31791786).

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

21825414 is a wasteful number, since it uses less digits than its factorization.

21825414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4949 (or 4946 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 21825414 is about 4671.7677596387. The cubic root of 21825414 is about 279.4607563712.

The spelling of 21825414 in words is "twenty-one million, eight hundred twenty-five thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 494 741 1482 2223 4446 4909 9818 14727 29454 44181 63817 88362 93271 127634 186542 191451 279813 382902 559626 574353 839439 1148706 1212523 1678878 2425046 3637569 7275138 10912707 21825414