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21493944 = 2333151659
BaseRepresentation
bin101000111111…
…1100010111000
31111110000011000
41101333202320
521000301234
62044405000
7350460363
oct121774270
944400130
1021493944
111115079a
127246760
1345b7414
142bd70da
151d48899
hex147f8b8

21493944 has 64 divisors (see below), whose sum is σ = 60192000. Its totient is φ = 7106400.

The previous prime is 21493909. The next prime is 21493951. The reversal of 21493944 is 44939412.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 21493899 and 21493908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32287 + ... + 32945.

It is an arithmetic number, because the mean of its divisors is an integer number (940500).

Almost surely, 221493944 is an apocalyptic number.

21493944 is a gapful number since it is divisible by the number (24) 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 21493944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30096000).

21493944 is an abundant number, since it is smaller than the sum of its proper divisors (38698056).

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

21493944 is a wasteful number, since it uses less digits than its factorization.

21493944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 815 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 21493944 is about 4636.1561664810. The cubic root of 21493944 is about 278.0387779524.

The spelling of 21493944 in words is "twenty-one million, four hundred ninety-three thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 151 216 302 453 604 659 906 1208 1318 1359 1812 1977 2636 2718 3624 3954 4077 5272 5436 5931 7908 8154 10872 11862 15816 16308 17793 23724 32616 35586 47448 71172 99509 142344 199018 298527 398036 597054 796072 895581 1194108 1791162 2388216 2686743 3582324 5373486 7164648 10746972 21493944