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21874242 = 23132389137
BaseRepresentation
bin101001101110…
…0011001000010
31112011022211010
41103130121002
521044433432
62100501350
7353633205
oct123343102
945138733
1021874242
1111390495
1273aa856
1346bb550
142c9593c
151dc13cc
hex14dc642

21874242 has 64 divisors (see below), whose sum is σ = 50077440. Its totient is φ = 6319104.

The previous prime is 21874241. The next prime is 21874261. The reversal of 21874242 is 24247812.

It is not an unprimeable number, because it can be changed into a prime (21874241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 159598 + ... + 159734.

It is an arithmetic number, because the mean of its divisors is an integer number (782460).

Almost surely, 221874242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21874242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25038720).

21874242 is an abundant number, since it is smaller than the sum of its proper divisors (28203198).

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

21874242 is a wasteful number, since it uses less digits than its factorization.

21874242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267.

The product of its digits is 7168, while the sum is 30.

The square root of 21874242 is about 4676.9906991569. The cubic root of 21874242 is about 279.6690051355.

The spelling of 21874242 in words is "twenty-one million, eight hundred seventy-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 89 137 138 178 267 274 299 411 534 598 822 897 1157 1781 1794 2047 2314 3151 3471 3562 4094 5343 6141 6302 6942 9453 10686 12193 12282 18906 24386 26611 36579 40963 53222 73158 79833 81926 122889 158509 159666 245778 280439 317018 475527 560878 841317 951054 1682634 3645707 7291414 10937121 21874242