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453228048 = 2436721361
BaseRepresentation
bin11011000000111…
…011011000010000
31011120211101000000
4123000323120100
51412011244143
6112550130000
714142242400
oct3300733020
91146741000
10453228048
11212920a39
12107950900
1372b8a0a0
144429c800
1529bc9bd3
hex1b03b610

453228048 has 420 divisors, whose sum is σ = 1676395308. Its totient is φ = 117573120.

The previous prime is 453228031. The next prime is 453228049. The reversal of 453228048 is 840822354.

453228048 is a `hidden beast` number, since 4 + 532 + 2 + 80 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36578304 + 416649744 = 6048^2 + 20412^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (453228049) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 7429938 + ... + 7429998.

Almost surely, 2453228048 is an apocalyptic number.

453228048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 453228048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838197654).

453228048 is an abundant number, since it is smaller than the sum of its proper divisors (1223167260).

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

453228048 is a wasteful number, since it uses less digits than its factorization.

453228048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 453228048 is about 21289.1532945770. The cubic root of 453228048 is about 768.1374265792.

The spelling of 453228048 in words is "four hundred fifty-three million, two hundred twenty-eight thousand, forty-eight".