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256204240 = 2457094517
BaseRepresentation
bin11110100010101…
…01110111010000
3122212002112010221
433101111313100
51011042013430
641231202424
76230462065
oct1721256720
9585075127
10256204240
11121691046
1271976414
1341105656
1426052c6c
151775c57a
hexf455dd0

256204240 has 40 divisors (see below), whose sum is σ = 596647080. Its totient is φ = 102314496.

The previous prime is 256204217. The next prime is 256204253. The reversal of 256204240 is 42402652.

It can be written as a sum of positive squares in 4 ways, for example, as 15085456 + 241118784 = 3884^2 + 15528^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2562042402 = 131281225187955200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54462 + ... + 58978.

It is an arithmetic number, because the mean of its divisors is an integer number (14916177).

Almost surely, 2256204240 is an apocalyptic number.

256204240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256204240 is an abundant number, since it is smaller than the sum of its proper divisors (340442840).

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

256204240 is a wasteful number, since it uses less digits than its factorization.

256204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5239 (or 5233 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 256204240 is about 16006.3812274980. The cubic root of 256204240 is about 635.1292356879.

Adding to 256204240 its reverse (42402652), we get a palindrome (298606892).

The spelling of 256204240 in words is "two hundred fifty-six million, two hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 709 1418 2836 3545 4517 5672 7090 9034 11344 14180 18068 22585 28360 36136 45170 56720 72272 90340 180680 361360 3202553 6405106 12810212 16012765 25620424 32025530 51240848 64051060 128102120 256204240