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2026561536 = 2133227487
BaseRepresentation
bin111100011001010…
…1110000000000000
312020020022222210200
41320302232000000
513122244432121
6533032125200
7101135326446
oct17062560000
95206288720
102026561536
1194aa3974a
12486836800
13263b1724c
14153210b96
15bcdaca26
hex78cae000

2026561536 has 84 divisors (see below), whose sum is σ = 5854366752. Its totient is φ = 675495936.

The previous prime is 2026561513. The next prime is 2026561597. The reversal of 2026561536 is 6351656202.

It is a happy number.

2026561536 is a `hidden beast` number, since 2 + 0 + 2 + 6 + 5 + 615 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2026561536.

It is a congruent number.

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, 59985 + ... + 87471.

Almost surely, 22026561536 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 2026561536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927183376).

2026561536 is an abundant number, since it is smaller than the sum of its proper divisors (3827805216).

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

2026561536 is an equidigital number, since it uses as much as digits as its factorization.

2026561536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27519 (or 27492 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 2026561536 is about 45017.3470564404. The cubic root of 2026561536 is about 1265.4741120457.

The spelling of 2026561536 in words is "two billion, twenty-six million, five hundred sixty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 8192 9216 12288 18432 24576 27487 36864 54974 73728 82461 109948 164922 219896 247383 329844 439792 494766 659688 879584 989532 1319376 1759168 1979064 2638752 3518336 3958128 5277504 7036672 7916256 10555008 14073344 15832512 21110016 28146688 31665024 42220032 56293376 63330048 84440064 112586752 126660096 168880128 225173504 253320192 337760256 506640384 675520512 1013280768 2026561536