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457422912 = 2632794137
BaseRepresentation
bin11011010000111…
…011100001000000
31011212201111021100
4123100323201000
51414100013122
6113220054400
714223013332
oct3320734100
91155644240
10457422912
11215226671
12109234400
13739c855b
1444a71452
152a257aac
hex1b43b840

457422912 has 42 divisors (see below), whose sum is σ = 1311121838. Its totient is φ = 152474112.

The previous prime is 457422881. The next prime is 457422943. The reversal of 457422912 is 219224754.

It is an interprime number because it is at equal distance from previous prime (457422881) and next prime (457422943).

It can be written as a sum of positive squares in only one way, i.e., 457275456 + 147456 = 21384^2 + 384^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 396493 + ... + 397644.

Almost surely, 2457422912 is an apocalyptic number.

It is an amenable number.

457422912 is an abundant number, since it is smaller than the sum of its proper divisors (853698926).

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

457422912 is a wasteful number, since it uses less digits than its factorization.

457422912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794155 (or 794142 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 457422912 is about 21387.4475335417. The cubic root of 457422912 is about 770.4999912269.

The spelling of 457422912 in words is "four hundred fifty-seven million, four hundred twenty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 794137 1588274 2382411 3176548 4764822 6353096 7147233 9529644 12706192 14294466 19059288 25412384 28588932 38118576 50824768 57177864 76237152 114355728 152474304 228711456 457422912