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422467456 = 27612887
BaseRepresentation
bin11001001011100…
…101011110000000
31002102221120101211
4121023211132000
51331122424311
6105530535504
713316625355
oct3113453600
91072846354
10422467456
111a7521064
12b9597594
13696a9b58
144017262c
1527150821
hex192e5780

422467456 has 48 divisors (see below), whose sum is σ = 856622520. Its totient is φ = 207536640.

The previous prime is 422467433. The next prime is 422467477. The reversal of 422467456 is 654764224.

It is a super-2 number, since 2×4224674562 = 356957502758223872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 475845 + ... + 476731.

Almost surely, 2422467456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422467456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428311260).

422467456 is an abundant number, since it is smaller than the sum of its proper divisors (434155064).

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

422467456 is an frugal number, since it uses more digits than its factorization.

422467456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 950 counting only the distinct ones).

The product of its digits is 322560, while the sum is 40.

The square root of 422467456 is about 20554.0131361250. The cubic root of 422467456 is about 750.3509208175.

The spelling of 422467456 in words is "four hundred twenty-two million, four hundred sixty-seven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 488 887 976 1774 1952 3548 3721 3904 7096 7442 7808 14192 14884 28384 29768 54107 56768 59536 108214 113536 119072 216428 238144 432856 476288 865712 1731424 3300527 3462848 6601054 6925696 13202108 26404216 52808432 105616864 211233728 422467456