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21764442 = 23729107167
BaseRepresentation
bin101001100000…
…1100101011010
31111221202012110
41103001211122
521032430232
62054253150
7352665120
oct123014532
944852173
1021764442
1111315a47
1273571b6
13468058b
142c67910
151d9dacc
hex14c195a

21764442 has 64 divisors (see below), whose sum is σ = 52254720. Its totient is φ = 5912256.

The previous prime is 21764441. The next prime is 21764447. The reversal of 21764442 is 24446712.

It is not an unprimeable number, because it can be changed into a prime (21764441) 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, 130243 + ... + 130409.

It is an arithmetic number, because the mean of its divisors is an integer number (816480).

Almost surely, 221764442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21764442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26127360).

21764442 is an abundant number, since it is smaller than the sum of its proper divisors (30490278).

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

21764442 is a wasteful number, since it uses less digits than its factorization.

21764442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315.

The product of its digits is 10752, while the sum is 30.

The square root of 21764442 is about 4665.2376145273. The cubic root of 21764442 is about 279.2002775700.

The spelling of 21764442 in words is "twenty-one million, seven hundred sixty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 107 167 174 203 214 321 334 406 501 609 642 749 1002 1169 1218 1498 2247 2338 3103 3507 4494 4843 6206 7014 9309 9686 14529 17869 18618 21721 29058 33901 35738 43442 53607 65163 67802 101703 107214 125083 130326 203406 250166 375249 518201 750498 1036402 1554603 3109206 3627407 7254814 10882221 21764442