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3086084256 = 253178921247
BaseRepresentation
bin1011011111110001…
…1110100010100000
321222002000022201220
42313330132202200
522310014144011
61230121255040
7136322166123
oct26774364240
97862008656
103086084256
111344017862
12721634480
133a2495078
14213c143ba
15130dea506
hexb7f1e8a0

3086084256 has 96 divisors (see below), whose sum is σ = 8674283520. Its totient is φ = 957259776.

The previous prime is 3086084237. The next prime is 3086084257. The reversal of 3086084256 is 6524806803.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (3086084257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134625 + ... + 155871.

It is an arithmetic number, because the mean of its divisors is an integer number (90357120).

Almost surely, 23086084256 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 3086084256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4337141760).

3086084256 is an abundant number, since it is smaller than the sum of its proper divisors (5588199264).

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

3086084256 is a wasteful number, since it uses less digits than its factorization.

3086084256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21366 (or 21358 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 3086084256 is about 55552.5359997183. The cubic root of 3086084256 is about 1455.9146842494.

The spelling of 3086084256 in words is "three billion, eighty-six million, eighty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 89 96 102 136 178 204 267 272 356 408 534 544 712 816 1068 1424 1513 1632 2136 2848 3026 4272 4539 6052 8544 9078 12104 18156 21247 24208 36312 42494 48416 63741 72624 84988 127482 145248 169976 254964 339952 361199 509928 679904 722398 1019856 1083597 1444796 1890983 2039712 2167194 2889592 3781966 4334388 5672949 5779184 7563932 8668776 11345898 11558368 15127864 17337552 22691796 30255728 32146711 34675104 45383592 60511456 64293422 90767184 96440133 128586844 181534368 192880266 257173688 385760532 514347376 771521064 1028694752 1543042128 3086084256