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5826006032 = 2471138312347
BaseRepresentation
bin1010110110100000…
…11100110000010000
3120001000122202211012
411123100130300100
543412424143112
62402035310052
7264242143220
oct53320346020
916030582735
105826006032
11251a6a0620
12116714b328
1371b018862
143d3a7a080
15241719022
hex15b41cc10

5826006032 has 80 divisors (see below), whose sum is σ = 14111096832. Its totient is φ = 2263762560.

The previous prime is 5826005993. The next prime is 5826006037. The reversal of 5826006032 is 2306006285.

It is a self number, because there is not a number n which added to its sum of digits gives 5826006032.

It is not an unprimeable number, because it can be changed into a prime (5826006037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 465683 + ... + 478029.

Almost surely, 25826006032 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 5826006032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7055548416).

5826006032 is an abundant number, since it is smaller than the sum of its proper divisors (8285090800).

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

5826006032 is a wasteful number, since it uses less digits than its factorization.

5826006032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12756 (or 12750 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 5826006032 is about 76328.2780625896. The cubic root of 5826006032 is about 1799.3831252416.

The spelling of 5826006032 in words is "five billion, eight hundred twenty-six million, six thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 383 616 766 1232 1532 2681 3064 4213 5362 6128 8426 10724 12347 16852 21448 24694 29491 33704 42896 49388 58982 67408 86429 98776 117964 135817 172858 197552 235928 271634 345716 471856 543268 691432 950719 1086536 1382864 1901438 2173072 3802876 4728901 7605752 9457802 15211504 18915604 33102307 37831208 52017911 66204614 75662416 104035822 132409228 208071644 264818456 364125377 416143288 529636912 728250754 832286576 1456501508 2913003016 5826006032