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457378116 = 2231313122381
BaseRepresentation
bin11011010000110…
…000100101000100
31011212122012211020
4123100300211010
51414042044431
6113215111140
714222435616
oct3320604504
91155565736
10457378116
112151a5a48
121092124b0
13739b1050
1444a5cdb6
152a249696
hex1b430944

457378116 has 48 divisors (see below), whose sum is σ = 1158134208. Its totient is φ = 139651200.

The previous prime is 457378109. The next prime is 457378133. The reversal of 457378116 is 611873754.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9246 + ... + 31626.

It is an arithmetic number, because the mean of its divisors is an integer number (24127796).

Almost surely, 2457378116 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 457378116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579067104).

457378116 is an abundant number, since it is smaller than the sum of its proper divisors (700756092).

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

457378116 is a wasteful number, since it uses less digits than its factorization.

457378116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22532 (or 22530 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 457378116 is about 21386.4002581080. The cubic root of 457378116 is about 770.4748383953.

The spelling of 457378116 in words is "four hundred fifty-seven million, three hundred seventy-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 131 156 262 393 524 786 1572 1703 3406 5109 6812 10218 20436 22381 44762 67143 89524 134286 268572 290953 581906 872859 1163812 1745718 2931911 3491436 5863822 8795733 11727644 17591466 35182932 38114843 76229686 114344529 152459372 228689058 457378116