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2581403328 = 26327640229
BaseRepresentation
bin1001100111011101…
…0001011011000000
320122220100212122200
42121313101123000
520241314401303
61104052233200
7120653365140
oct23167213300
96586325580
102581403328
111105153589
1260060b800
13321a614ba
141a6ba0920
1510195a3a3
hex99dd16c0

2581403328 has 84 divisors (see below), whose sum is σ = 8456157840. Its totient is φ = 737542656.

The previous prime is 2581403317. The next prime is 2581403351. The reversal of 2581403328 is 8233041852.

2581403328 is a `hidden beast` number, since 2 + 581 + 40 + 3 + 32 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2581403292 and 2581403301.

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, 316083 + ... + 324146.

Almost surely, 22581403328 is an apocalyptic number.

2581403328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2581403328 is an abundant number, since it is smaller than the sum of its proper divisors (5874754512).

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

2581403328 is a wasteful number, since it uses less digits than its factorization.

2581403328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640254 (or 640241 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2581403328 is about 50807.5125153751. The cubic root of 2581403328 is about 1371.7825958057.

The spelling of 2581403328 in words is "two billion, five hundred eighty-one million, four hundred three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 640229 1280458 1920687 2560916 3841374 4481603 5121832 5762061 7682748 8963206 10243664 11524122 13444809 15365496 17926412 20487328 23048244 26889618 30730992 35852824 40334427 40974656 46096488 53779236 61461984 71705648 80668854 92192976 107558472 122923968 143411296 161337708 184385952 215116944 286822592 322675416 368771904 430233888 645350832 860467776 1290701664 2581403328