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455940496 = 241125110321
BaseRepresentation
bin11011001011010…
…001100110010000
31011202221011210001
4123023101212100
51413210043441
6113124215344
714204300404
oct3313214620
91152834701
10455940496
11214403930
1210883a554
13735c989b
14447a7104
152a063731
hex1b2d1990

455940496 has 40 divisors (see below), whose sum is σ = 967625568. Its totient is φ = 206400000.

The previous prime is 455940479. The next prime is 455940547. The reversal of 455940496 is 694049554.

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 7 ways as a sum of consecutive naturals, for example, 39016 + ... + 49336.

Almost surely, 2455940496 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 455940496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483812784).

455940496 is an abundant number, since it is smaller than the sum of its proper divisors (511685072).

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

455940496 is a wasteful number, since it uses less digits than its factorization.

455940496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10591 (or 10585 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 46.

The square root of 455940496 is about 21352.7631935541. The cubic root of 455940496 is about 769.6667450897. Note that the first 3 decimals are identical.

The spelling of 455940496 in words is "four hundred fifty-five million, nine hundred forty thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 44 88 176 251 502 1004 2008 2761 4016 5522 10321 11044 20642 22088 41284 44176 82568 113531 165136 227062 454124 908248 1816496 2590571 5181142 10362284 20724568 28496281 41449136 56992562 113985124 227970248 455940496