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256430636 = 2271131107251
BaseRepresentation
bin11110100100011…
…01001000101100
3122212112000200222
433102031020230
51011121240021
641240110512
76232424120
oct1722151054
9585460628
10256430636
11121826150
1271a65438
1341184707
14260b1580
15177a46ab
hexf48d22c

256430636 has 96 divisors (see below), whose sum is σ = 585252864. Its totient is φ = 95400000.

The previous prime is 256430563. The next prime is 256430663. The reversal of 256430636 is 636034652.

It is a junction number, because it is equal to n+sod(n) for n = 256430596 and 256430605.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1021511 + ... + 1021761.

It is an arithmetic number, because the mean of its divisors is an integer number (6096384).

Almost surely, 2256430636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256430636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292626432).

256430636 is an abundant number, since it is smaller than the sum of its proper divisors (328822228).

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

256430636 is a wasteful number, since it uses less digits than its factorization.

256430636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 35.

The square root of 256430636 is about 16013.4517203506. The cubic root of 256430636 is about 635.3162588554.

The spelling of 256430636 in words is "two hundred fifty-six million, four hundred thirty thousand, six hundred thirty-six".

Divisors: 1 2 4 7 11 14 22 28 31 44 62 77 107 124 154 214 217 251 308 341 428 434 502 682 749 868 1004 1177 1364 1498 1757 2354 2387 2761 2996 3317 3514 4708 4774 5522 6634 7028 7781 8239 9548 11044 13268 15562 16478 19327 23219 26857 31124 32956 36487 38654 46438 53714 54467 72974 77308 85591 92876 107428 108934 145948 171182 187999 217868 255409 295427 342364 375998 510818 590854 599137 751996 832567 1021636 1181708 1198274 1665134 2067989 2396548 3330268 4135978 5827969 8271956 9158237 11655938 18316474 23311876 36632948 64107659 128215318 256430636