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855255240 = 233357294783
BaseRepresentation
bin110010111110100…
…010100011001000
32012121022110122000
4302332202203020
53222421131430
6220511031000
730123356340
oct6276424310
92177273560
10855255240
113a9850a14
121ba50b460
1310825b2b8
148182dd20
155013de60
hex32fa28c8

855255240 has 512 divisors, whose sum is σ = 3483648000. Its totient is φ = 182504448.

The previous prime is 855255229. The next prime is 855255241. The reversal of 855255240 is 42552558.

It is a happy number.

855255240 is a `hidden beast` number, since 85 + 52 + 5 + 524 + 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 = 855255195 and 855255204.

It is not an unprimeable number, because it can be changed into a prime (855255241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10304239 + ... + 10304321.

It is an arithmetic number, because the mean of its divisors is an integer number (6804000).

Almost surely, 2855255240 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 855255240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741824000).

855255240 is an abundant number, since it is smaller than the sum of its proper divisors (2628392760).

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

855255240 is a wasteful number, since it uses less digits than its factorization.

855255240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The square root of 855255240 is about 29244.7472206549. The cubic root of 855255240 is about 949.2164323705.

The spelling of 855255240 in words is "eight hundred fifty-five million, two hundred fifty-five thousand, two hundred forty".