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455254272 = 28321122371
BaseRepresentation
bin11011001000101…
…010000100000000
31011201122022110100
4123020222010000
51413021114042
6113101402400
714165411634
oct3310520400
91151568410
10455254272
11213a85300
12108569400
1373419435
1444668dc4
1529e7a24c
hex1b22a100

455254272 has 324 divisors, whose sum is σ = 1526720832. Its totient is φ = 130099200.

The previous prime is 455254243. The next prime is 455254301. The reversal of 455254272 is 272452554.

455254272 is a `hidden beast` number, since 45 + 5 + 2 + 542 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (455254243) and next prime (455254301).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6411997 + ... + 6412067.

Almost surely, 2455254272 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 455254272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763360416).

455254272 is an abundant number, since it is smaller than the sum of its proper divisors (1071466560).

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

455254272 is a wasteful number, since it uses less digits than its factorization.

455254272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 110 counting only the distinct ones).

The product of its digits is 112000, while the sum is 36.

The square root of 455254272 is about 21336.6884028426. The cubic root of 455254272 is about 769.2804161762.

The spelling of 455254272 in words is "four hundred fifty-five million, two hundred fifty-four thousand, two hundred seventy-two".