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455052144 = 24343220471
BaseRepresentation
bin11011000111111…
…000101101110000
31011201021001012010
4123013320231300
51412443132034
6113053202520
714163610431
oct3307705560
91151231163
10455052144
11213957458
12108490440
1373378431
1444615488
1529e3a3e9
hex1b1f8b70

455052144 has 40 divisors (see below), whose sum is σ = 1202895232. Its totient is φ = 148155840.

The previous prime is 455052139. The next prime is 455052149. The reversal of 455052144 is 441250554.

It is an interprime number because it is at equal distance from previous prime (455052139) and next prime (455052149).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455052149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108172 + ... + 112299.

Almost surely, 2455052144 is an apocalyptic number.

It is an amenable number.

455052144 is an abundant number, since it is smaller than the sum of its proper divisors (747843088).

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

455052144 is a wasteful number, since it uses less digits than its factorization.

455052144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220525 (or 220519 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The square root of 455052144 is about 21331.9512468972. The cubic root of 455052144 is about 769.1665485791.

The spelling of 455052144 in words is "four hundred fifty-five million, fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 2064 220471 440942 661413 881884 1322826 1763768 2645652 3527536 5291304 9480253 10582608 18960506 28440759 37921012 56881518 75842024 113763036 151684048 227526072 455052144