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2026064384 = 291032373
BaseRepresentation
bin111100011000011…
…0100101000000000
312020012101201211122
41320300310220000
513122133030014
6533013331412
7101131156151
oct17060645000
95205351748
102026064384
1194a72a183
12486636b68
132639a1b86
14153121928
15bcd1058e
hex78c34a00

2026064384 has 60 divisors (see below), whose sum is σ = 4098815226. Its totient is φ = 1000507392.

The previous prime is 2026064377. The next prime is 2026064413. The reversal of 2026064384 is 4834606202.

It can be written as a sum of positive squares in only one way, i.e., 1697440000 + 328624384 = 41200^2 + 18128^2 .

It is a super-2 number, since 2×20260643842 = 8209873776226598912, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5431622 + ... + 5431994.

Almost surely, 22026064384 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 2026064384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049407613).

2026064384 is an abundant number, since it is smaller than the sum of its proper divisors (2072750842).

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

2026064384 is an frugal number, since it uses more digits than its factorization.

2026064384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The square root of 2026064384 is about 45011.8249352323. The cubic root of 2026064384 is about 1265.3706223946.

The spelling of 2026064384 in words is "two billion, twenty-six million, sixty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 103 128 206 256 373 412 512 746 824 1492 1648 2984 3296 5968 6592 10609 11936 13184 21218 23872 26368 38419 42436 47744 52736 76838 84872 95488 153676 169744 190976 307352 339488 614704 678976 1229408 1357952 2458816 2715904 3957157 4917632 5431808 7914314 9835264 15828628 19670528 31657256 63314512 126629024 253258048 506516096 1013032192 2026064384