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256610424 = 23371527443
BaseRepresentation
bin11110100101110…
…01000001111000
3122212212011022210
433102321001320
51011143013144
641244015120
76234103230
oct1722710170
9585764283
10256610424
11121939234
1271b314a0
13412184b5
142611acc0
15177dcab9
hexf4b9078

256610424 has 32 divisors (see below), whose sum is σ = 733173120. Its totient is φ = 73317216.

The previous prime is 256610423. The next prime is 256610441. The reversal of 256610424 is 424016652.

256610424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 256610391 and 256610400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256610423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 763554 + ... + 763889.

It is an arithmetic number, because the mean of its divisors is an integer number (22911660).

Almost surely, 2256610424 is an apocalyptic number.

256610424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

256610424 is an abundant number, since it is smaller than the sum of its proper divisors (476562696).

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

256610424 is a wasteful number, since it uses less digits than its factorization.

256610424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527459 (or 1527455 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 256610424 is about 16019.0643921547. The cubic root of 256610424 is about 635.4647012793.

The spelling of 256610424 in words is "two hundred fifty-six million, six hundred ten thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1527443 3054886 4582329 6109772 9164658 10692101 12219544 18329316 21384202 32076303 36658632 42768404 64152606 85536808 128305212 256610424