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256825590 = 23572353173
BaseRepresentation
bin11110100111011…
…01100011110110
3122220021002110220
433103231203312
51011221404330
641252355210
76235660440
oct1723554366
9586232426
10256825590
11121a7595a
1272015b06
1341292408
1426175490
1517831710
hexf4ed8f6

256825590 has 64 divisors (see below), whose sum is σ = 735077376. Its totient is φ = 56149632.

The previous prime is 256825529. The next prime is 256825649. The reversal of 256825590 is 95528652.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21757 + ... + 31416.

It is an arithmetic number, because the mean of its divisors is an integer number (11485584).

Almost surely, 2256825590 is an apocalyptic number.

256825590 is an abundant number, since it is smaller than the sum of its proper divisors (478251786).

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

256825590 is a wasteful number, since it uses less digits than its factorization.

256825590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53213.

The product of its (nonzero) digits is 216000, while the sum is 42.

The square root of 256825590 is about 16025.7789202272. The cubic root of 256825590 is about 635.6422625254.

The spelling of 256825590 in words is "two hundred fifty-six million, eight hundred twenty-five thousand, five hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 105 115 138 161 210 230 322 345 483 690 805 966 1610 2415 4830 53173 106346 159519 265865 319038 372211 531730 744422 797595 1116633 1222979 1595190 1861055 2233266 2445958 3668937 3722110 5583165 6114895 7337874 8560853 11166330 12229790 17121706 18344685 25682559 36689370 42804265 51365118 85608530 128412795 256825590