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21942492 = 223111319673
BaseRepresentation
bin101001110110…
…1000011011100
31112021210102220
41103231003130
521104124432
62102145340
7354336165
oct123550334
945253386
1021942492
11114277a0
127422250
134713630
142cb276c
151dd672c
hex14ed0dc

21942492 has 96 divisors (see below), whose sum is σ = 63409920. Its totient is φ = 5806080.

The previous prime is 21942491. The next prime is 21942497. The reversal of 21942492 is 29424912.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21942491) 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 31 ways as a sum of consecutive naturals, for example, 32268 + ... + 32940.

It is an arithmetic number, because the mean of its divisors is an integer number (660520).

Almost surely, 221942492 is an apocalyptic number.

21942492 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21942492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31704960).

21942492 is an abundant number, since it is smaller than the sum of its proper divisors (41467428).

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

21942492 is a wasteful number, since it uses less digits than its factorization.

21942492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 721 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 21942492 is about 4684.2813749817. The cubic root of 21942492 is about 279.9595689921.

The spelling of 21942492 in words is "twenty-one million, nine hundred forty-two thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 13 19 22 26 33 38 39 44 52 57 66 76 78 114 132 143 156 209 228 247 286 418 429 494 572 627 673 741 836 858 988 1254 1346 1482 1716 2019 2508 2692 2717 2964 4038 5434 7403 8076 8151 8749 10868 12787 14806 16302 17498 22209 25574 26247 29612 32604 34996 38361 44418 51148 52494 76722 88836 96239 104988 140657 153444 166231 192478 281314 288717 332462 384956 421971 498693 562628 577434 664924 843942 997386 1154868 1687884 1828541 1994772 3657082 5485623 7314164 10971246 21942492