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72442413 = 329782981
BaseRepresentation
bin1000101000101…
…10001000101101
312001022110022100
410110112020231
5122021124123
611104405313
71536515241
oct424261055
9161273270
1072442413
113798a06a
1220316839
1312015444
14989a421
15655e643
hex451622d

72442413 has 12 divisors (see below), whose sum is σ = 105719068. Its totient is φ = 47796480.

The previous prime is 72442399. The next prime is 72442417. The reversal of 72442413 is 31424427.

72442413 is a `hidden beast` number, since 7 + 244 + 2 + 413 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27846729 + 44595684 = 5277^2 + 6678^2 .

It is not a de Polignac number, because 72442413 - 24 = 72442397 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72442417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40618 + ... + 42363.

Almost surely, 272442413 is an apocalyptic number.

It is an amenable number.

72442413 is a deficient number, since it is larger than the sum of its proper divisors (33276655).

72442413 is a wasteful number, since it uses less digits than its factorization.

72442413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83084 (or 83081 counting only the distinct ones).

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

The square root of 72442413 is about 8511.3108861091. The cubic root of 72442413 is about 416.8671142921.

The spelling of 72442413 in words is "seventy-two million, four hundred forty-two thousand, four hundred thirteen".

Divisors: 1 3 9 97 291 873 82981 248943 746829 8049157 24147471 72442413