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452576040 = 233571741773
BaseRepresentation
bin11010111110011…
…100001100101000
31011112121020121120
4122332130030220
51411324413130
6112524135240
714133555450
oct3276341450
91145536546
10452576040
11212516094
12107697520
13729bc397
144416cd60
1529aeb910
hex1af9c328

452576040 has 256 divisors, whose sum is σ = 1685214720. Its totient is φ = 94863360.

The previous prime is 452576039. The next prime is 452576053. The reversal of 452576040 is 40675254.

It is a junction number, because it is equal to n+sod(n) for n = 452575992 and 452576010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 585094 + ... + 585866.

It is an arithmetic number, because the mean of its divisors is an integer number (6582870).

Almost surely, 2452576040 is an apocalyptic number.

452576040 is a gapful number since it is divisible by the number (40) 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 452576040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842607360).

452576040 is an abundant number, since it is smaller than the sum of its proper divisors (1232638680).

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

452576040 is a wasteful number, since it uses less digits than its factorization.

452576040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 452576040 is about 21273.8346331826. The cubic root of 452576040 is about 767.7689056216.

The spelling of 452576040 in words is "four hundred fifty-two million, five hundred seventy-six thousand, forty".