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457056640 = 275714151
BaseRepresentation
bin11011001111100…
…010000110000000
31011212000212211201
4123033202012000
51414001303030
6113204150544
714216626435
oct3317420600
91155025751
10457056640
11214aa6467
12109098454
13738ca921
14449b7b8c
152a1d42ca
hex1b3e2180

457056640 has 32 divisors (see below), whose sum is σ = 1092652560. Its totient is φ = 182822400.

The previous prime is 457056581. The next prime is 457056689. The reversal of 457056640 is 46650754.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 457056640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 356436 + ... + 357715.

Almost surely, 2457056640 is an apocalyptic number.

457056640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457056640 is an abundant number, since it is smaller than the sum of its proper divisors (635595920).

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

457056640 is an equidigital number, since it uses as much as digits as its factorization.

457056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714170 (or 714158 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The square root of 457056640 is about 21378.8830391113. The cubic root of 457056640 is about 770.2942822982.

The spelling of 457056640 in words is "four hundred fifty-seven million, fifty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 714151 1428302 2856604 3570755 5713208 7141510 11426416 14283020 22852832 28566040 45705664 57132080 91411328 114264160 228528320 457056640