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21882468 = 22317671601
BaseRepresentation
bin101001101111…
…0011001100100
31112011202002210
41103132121210
521100214333
62101003420
7353666166
oct123363144
945152083
1021882468
1111396693
1273b3570
1346c220a
142c98936
151dc3a63
hex14de664

21882468 has 48 divisors (see below), whose sum is σ = 54903744. Its totient is φ = 6758400.

The previous prime is 21882461. The next prime is 21882473. The reversal of 21882468 is 86428812.

It is not an unprimeable number, because it can be changed into a prime (21882461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12868 + ... + 14468.

It is an arithmetic number, because the mean of its divisors is an integer number (1143828).

Almost surely, 221882468 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 21882468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27451872).

21882468 is an abundant number, since it is smaller than the sum of its proper divisors (33021276).

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

21882468 is a wasteful number, since it uses less digits than its factorization.

21882468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1690 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 21882468 is about 4677.8700281218. The cubic root of 21882468 is about 279.7040580670.

It can be divided in two parts, 2188 and 2468, that added together give a triangular number (4656 = T96).

The spelling of 21882468 in words is "twenty-one million, eight hundred eighty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 67 68 102 134 201 204 268 402 804 1139 1601 2278 3202 3417 4556 4803 6404 6834 9606 13668 19212 27217 54434 81651 107267 108868 163302 214534 321801 326604 429068 643602 1287204 1823539 3647078 5470617 7294156 10941234 21882468