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256150336 = 2613307873
BaseRepresentation
bin11110100010010…
…00101101000000
3122211222210012111
433101020231000
51011033302321
641230105104
76230145661
oct1721105500
9584883174
10256150336
111216545a2
127194b194
13410b6c60
142603b368
151774b5e1
hexf448b40

256150336 has 28 divisors (see below), whose sum is σ = 547399972. Its totient is φ = 118222848.

The previous prime is 256150331. The next prime is 256150337. The reversal of 256150336 is 633051652.

It can be written as a sum of positive squares in 2 ways, for example, as 138297600 + 117852736 = 11760^2 + 10856^2 .

It is a super-2 number, since 2×2561503362 = 131225989265825792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 256150298 and 256150307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256150331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 153105 + ... + 154768.

It is an arithmetic number, because the mean of its divisors is an integer number (19549999).

Almost surely, 2256150336 is an apocalyptic number.

256150336 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

256150336 is an abundant number, since it is smaller than the sum of its proper divisors (291249636).

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

256150336 is a wasteful number, since it uses less digits than its factorization.

256150336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307898 (or 307888 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 31.

The square root of 256150336 is about 16004.6973104773. The cubic root of 256150336 is about 635.0846899671.

The spelling of 256150336 in words is "two hundred fifty-six million, one hundred fifty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 307873 615746 1231492 2462984 4002349 4925968 8004698 9851936 16009396 19703872 32018792 64037584 128075168 256150336