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4451000256 = 263237920389
BaseRepresentation
bin1000010010100110…
…01101111111000000
3102111012100020111100
410021103031333000
533103424002011
62013400214400
7215204610063
oct41123157700
912435306440
104451000256
11198452340a
12a4276a400
1355c1ab781
143031d28da
151b0b5ed56
hex1094cdfc0

4451000256 has 84 divisors (see below), whose sum is σ = 12792278200. Its totient is φ = 1479679488.

The previous prime is 4451000207. The next prime is 4451000291. The reversal of 4451000256 is 6520001544.

It is a super-2 number, since 2×44510002562 = 39622806557824131072, 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 11 ways as a sum of consecutive naturals, for example, 208110 + ... + 228498.

Almost surely, 24451000256 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 4451000256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6396139100).

4451000256 is an abundant number, since it is smaller than the sum of its proper divisors (8341277944).

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

4451000256 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (4451000255) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (20786).

4451000256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20786 (or 20773 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 4451000256 is about 66715.8171350693. The cubic root of 4451000256 is about 1644.9493868138.

The spelling of 4451000256 in words is "four billion, four hundred fifty-one million, two hundred fifty-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 379 576 758 1137 1516 2274 3032 3411 4548 6064 6822 9096 12128 13644 18192 20389 24256 27288 36384 40778 54576 61167 72768 81556 109152 122334 163112 183501 218304 244668 326224 367002 489336 652448 734004 978672 1304896 1468008 1957344 2936016 3914688 5872032 7727431 11744064 15454862 23182293 30909724 46364586 61819448 69546879 92729172 123638896 139093758 185458344 247277792 278187516 370916688 494555584 556375032 741833376 1112750064 1483666752 2225500128 4451000256