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455142672 = 24331053571
BaseRepresentation
bin11011001000001…
…110110100010000
31011201102122101000
4123020032310100
51413004031142
6113055142000
714164435365
oct3310166420
91151378330
10455142672
11213a09476
12108514900
13733aa6ba
144463a46c
1529e5714c
hex1b20ed10

455142672 has 40 divisors (see below), whose sum is σ = 1306429280. Its totient is φ = 151714080.

The previous prime is 455142671. The next prime is 455142673. The reversal of 455142672 is 276241554.

It is a happy number.

455142672 is a `hidden beast` number, since 4 + 551 + 42 + 67 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (455142671) and next prime (455142673).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (455142671) 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, 526354 + ... + 527217.

It is an arithmetic number, because the mean of its divisors is an integer number (32660732).

Almost surely, 2455142672 is an apocalyptic number.

It is an amenable number.

455142672 is an abundant number, since it is smaller than the sum of its proper divisors (851286608).

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

455142672 is a wasteful number, since it uses less digits than its factorization.

455142672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053588 (or 1053576 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 455142672 is about 21334.0730288429. The cubic root of 455142672 is about 769.2175511534.

The spelling of 455142672 in words is "four hundred fifty-five million, one hundred forty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1053571 2107142 3160713 4214284 6321426 8428568 9482139 12642852 16857136 18964278 25285704 28446417 37928556 50571408 56892834 75857112 113785668 151714224 227571336 455142672