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426407472 = 24325355871
BaseRepresentation
bin11001011010100…
…111011000110000
31002201100202002100
4121122213120300
51333130014342
6110151220400
713365255321
oct3132473060
91081322070
10426407472
111a9772277
12ba977700
136a45931a
14408ba448
152767ce4c
hex196a7630

426407472 has 60 divisors (see below), whose sum is σ = 1215886464. Its totient is φ = 139451520.

The previous prime is 426407467. The next prime is 426407473. The reversal of 426407472 is 274704624.

It is a happy number.

426407472 is a `hidden beast` number, since 4 + 2 + 640 + 7 + 4 + 7 + 2 = 666.

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (426407473) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20304 + ... + 35567.

Almost surely, 2426407472 is an apocalyptic number.

It is an amenable number.

426407472 is an abundant number, since it is smaller than the sum of its proper divisors (789478992).

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

426407472 is a wasteful number, since it uses less digits than its factorization.

426407472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55938 (or 55929 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 426407472 is about 20649.6361227020. The cubic root of 426407472 is about 752.6763475251.

The spelling of 426407472 in words is "four hundred twenty-six million, four hundred seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1908 2544 3816 7632 55871 111742 167613 223484 335226 446968 502839 670452 893936 1005678 1340904 2011356 2681808 2961163 4022712 5922326 8045424 8883489 11844652 17766978 23689304 26650467 35533956 47378608 53300934 71067912 106601868 142135824 213203736 426407472