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252952300440 = 233357160120899
BaseRepresentation
bin1110101110010100100…
…0011100101110011000
3220011220200101020222000
43223211020130232120
513121021242103230
6312112113401000
724163252035450
oct3534510345630
9804820336860
10252952300440
1198304a85274
1241035269160
131ab12912128
14c35895cd60
1568a70d9b60
hex3ae521cb98

252952300440 has 256 divisors, whose sum is σ = 964275840000. Its totient is φ = 57778790400.

The previous prime is 252952300439. The next prime is 252952300453. The reversal of 252952300440 is 44003259252.

252952300440 is a `hidden beast` number, since 25 + 295 + 2 + 300 + 4 + 40 = 666.

252952300440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 252952300395 and 252952300404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12093111 + ... + 12114009.

It is an arithmetic number, because the mean of its divisors is an integer number (3766702500).

Almost surely, 2252952300440 is an apocalyptic number.

252952300440 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 252952300440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482137920000).

252952300440 is an abundant number, since it is smaller than the sum of its proper divisors (711323539560).

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

252952300440 is a wasteful number, since it uses less digits than its factorization.

252952300440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22527 (or 22517 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 252952300440 its reverse (44003259252), we get a palindrome (296955559692).

The spelling of 252952300440 in words is "two hundred fifty-two billion, nine hundred fifty-two million, three hundred thousand, four hundred forty".