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252035322840 = 233257891995647
BaseRepresentation
bin1110101010111001111…
…0011101001111011000
3220002112202220222011200
43222232132131033120
513112132020312330
6311441115354200
724131445616410
oct3525636351730
9802482828150
10252035322840
1197984407444
1240a1a152960
131a9c7952c32
14c2acc63640
156851857a60
hex3aae79d3d8

252035322840 has 384 divisors, whose sum is σ = 951575040000. Its totient is φ = 56664520704.

The previous prime is 252035322823. The next prime is 252035322853. The reversal of 252035322840 is 48223530252.

252035322840 is a `hidden beast` number, since 2 + 5 + 20 + 353 + 2 + 284 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 252035322795 and 252035322804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44628897 + ... + 44634543.

It is an arithmetic number, because the mean of its divisors is an integer number (2478060000).

Almost surely, 2252035322840 is an apocalyptic number.

252035322840 is a gapful number since it is divisible by the number (20) 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 252035322840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475787520000).

252035322840 is an abundant number, since it is smaller than the sum of its proper divisors (699539717160).

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

252035322840 is a wasteful number, since it uses less digits than its factorization.

252035322840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5959 (or 5952 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 252035322840 in words is "two hundred fifty-two billion, thirty-five million, three hundred twenty-two thousand, eight hundred forty".