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21442464 = 253274453
BaseRepresentation
bin101000111001…
…0111110100000
31111100101112100
41101302332200
520442124324
62043330400
7350154321
oct121627640
944311470
1021442464
111111604a
127220a00
134599b64
142bc2448
151d384c9
hex1472fa0

21442464 has 36 divisors (see below), whose sum is σ = 60977826. Its totient is φ = 7147392.

The previous prime is 21442459. The next prime is 21442471. The reversal of 21442464 is 46424412.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 20250000 + 1192464 = 4500^2 + 1092^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36939 + ... + 37514.

Almost surely, 221442464 is an apocalyptic number.

21442464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21442464 is an abundant number, since it is smaller than the sum of its proper divisors (39535362).

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

21442464 is a wasteful number, since it uses less digits than its factorization.

21442464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74469 (or 74458 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 21442464 is about 4630.6008249470. The cubic root of 21442464 is about 277.8166242324.

Adding to 21442464 its reverse (46424412), we get a palindrome (67866876).

The spelling of 21442464 in words is "twenty-one million, four hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 74453 148906 223359 297812 446718 595624 670077 893436 1191248 1340154 1786872 2382496 2680308 3573744 5360616 7147488 10721232 21442464