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21437442 = 23213172317
BaseRepresentation
bin101000111000…
…1110000000010
31111100010122100
41101301300002
520441444232
62043251230
7350133555
oct121616002
944303570
1021437442
11111122a4
127219b16
1345977a0
142bc069c
151d36c7c
hex1471c02

21437442 has 72 divisors (see below), whose sum is σ = 53303796. Its totient is φ = 6188544.

The previous prime is 21437441. The next prime is 21437443. The reversal of 21437442 is 24473412.

21437442 is a `hidden beast` number, since 214 + 3 + 7 + 442 = 666.

It is an interprime number because it is at equal distance from previous prime (21437441) and next prime (21437443).

It can be written as a sum of positive squares in 6 ways, for example, as 7080921 + 14356521 = 2661^2 + 3789^2 .

It is not an unprimeable number, because it can be changed into a prime (21437441) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67468 + ... + 67784.

Almost surely, 221437442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21437442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26651898).

21437442 is an abundant number, since it is smaller than the sum of its proper divisors (31866354).

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

21437442 is a wasteful number, since it uses less digits than its factorization.

21437442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 352 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 21437442 is about 4630.0585309475. The cubic root of 21437442 is about 277.7949335656.

The spelling of 21437442 in words is "twenty-one million, four hundred thirty-seven thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 289 306 317 442 578 634 663 867 951 1326 1734 1902 1989 2601 2853 3757 3978 4121 5202 5389 5706 7514 8242 10778 11271 12363 16167 22542 24726 32334 33813 37089 48501 67626 70057 74178 91613 97002 140114 183226 210171 274839 420342 549678 630513 824517 1190969 1261026 1649034 2381938 3572907 7145814 10718721 21437442