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457224738 = 23320923747
BaseRepresentation
bin11011010000001…
…011001000100010
31011212100102102120
4123100023020202
51414022142423
6113211525110
714221226505
oct3320131042
91155312376
10457224738
11215100793
12109159796
13739592a9
1444a1d13c
152a218ee3
hex1b40b222

457224738 has 16 divisors (see below), whose sum is σ = 914772960. Its totient is φ = 152354336.

The previous prime is 457224737. The next prime is 457224739. The reversal of 457224738 is 837422754.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (457224737) and next prime (457224739).

It is a super-2 number, since 2×4572247382 = 418108922078337288, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 457224738.

It is not an unprimeable number, because it can be changed into a prime (457224731) 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 7 ways as a sum of consecutive naturals, for example, 7381 + ... + 31127.

It is an arithmetic number, because the mean of its divisors is an integer number (57173310).

Almost surely, 2457224738 is an apocalyptic number.

457224738 is an abundant number, since it is smaller than the sum of its proper divisors (457548222).

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

457224738 is a wasteful number, since it uses less digits than its factorization.

457224738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26961.

The product of its digits is 376320, while the sum is 42.

The square root of 457224738 is about 21382.8140804713. The cubic root of 457224738 is about 770.3887046272.

The spelling of 457224738 in words is "four hundred fifty-seven million, two hundred twenty-four thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 3209 6418 9627 19254 23747 47494 71241 142482 76204123 152408246 228612369 457224738