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2542235256 = 233211107131229
BaseRepresentation
bin1001011110000111…
…0110111001111000
320120011122221011100
42113201312321320
520201303012011
61100132531400
7116666433411
oct22741667170
96504587140
102542235256
111095030a80
125ab480b60
133168c9522
141a18c6808
15ed2bed56
hex97876e78

2542235256 has 192 divisors, whose sum is σ = 7672579200. Its totient is φ = 754041600.

The previous prime is 2542235237. The next prime is 2542235261. The reversal of 2542235256 is 6525322452.

2542235256 is a `hidden beast` number, since 254 + 2 + 2 + 352 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2542235256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11101350 + ... + 11101578.

It is an arithmetic number, because the mean of its divisors is an integer number (39961350).

Almost surely, 22542235256 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 2542235256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3836289600).

2542235256 is an abundant number, since it is smaller than the sum of its proper divisors (5130343944).

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

2542235256 is a wasteful number, since it uses less digits than its factorization.

2542235256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 483 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 2542235256 is about 50420.5836539007. The cubic root of 2542235256 is about 1364.8091090784.

The spelling of 2542235256 in words is "two billion, five hundred forty-two million, two hundred thirty-five thousand, two hundred fifty-six".