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256236552 = 2332111341607
BaseRepresentation
bin11110100010111…
…01110000001000
3122212011011110200
433101131300020
51011044032202
641232012200
76230655225
oct1721356010
9585134420
10256236552
11121703350
1271991060
1341117280
142606094c
1517766e1c
hexf45dc08

256236552 has 192 divisors, whose sum is σ = 836559360. Its totient is φ = 69811200.

The previous prime is 256236509. The next prime is 256236553. The reversal of 256236552 is 255632652.

256236552 is a `hidden beast` number, since 25 + 623 + 6 + 5 + 5 + 2 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (256236553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421833 + ... + 422439.

It is an arithmetic number, because the mean of its divisors is an integer number (4357080).

Almost surely, 2256236552 is an apocalyptic number.

256236552 is a gapful number since it is divisible by the number (22) 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 256236552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418279680).

256236552 is an abundant number, since it is smaller than the sum of its proper divisors (580322808).

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

256236552 is a wasteful number, since it uses less digits than its factorization.

256236552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 677 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 256236552 is about 16007.3905431210. The cubic root of 256236552 is about 635.1559350030.

The spelling of 256236552 in words is "two hundred fifty-six million, two hundred thirty-six thousand, five hundred fifty-two".