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1056826008 = 233371494691
BaseRepresentation
bin111110111111011…
…110001010011000
32201122121022202000
4332333132022120
54131021413013
6252511241000
735121605250
oct7677361230
92648538660
101056826008
114a2607027
12255b19160
1313ac45544
14a0500960
1562ba8973
hex3efde298

1056826008 has 128 divisors (see below), whose sum is σ = 3378240000. Its totient is φ = 299859840.

The previous prime is 1056825997. The next prime is 1056826013. The reversal of 1056826008 is 8006286501.

It is a happy number.

It is a super-2 number, since 2×10568260082 = 2233762422370432128, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222943 + ... + 227633.

It is an arithmetic number, because the mean of its divisors is an integer number (26392500).

Almost surely, 21056826008 is an apocalyptic number.

1056826008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056826008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689120000).

1056826008 is an abundant number, since it is smaller than the sum of its proper divisors (2321413992).

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

1056826008 is a wasteful number, since it uses less digits than its factorization.

1056826008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4862 (or 4852 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1056826008 is about 32508.8604537286. The cubic root of 1056826008 is about 1018.5941185058.

The spelling of 1056826008 in words is "one billion, fifty-six million, eight hundred twenty-six thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 149 168 189 216 252 298 378 447 504 596 756 894 1043 1192 1341 1512 1788 2086 2682 3129 3576 4023 4172 4691 5364 6258 8046 8344 9382 9387 10728 12516 14073 16092 18764 18774 25032 28146 28161 32184 32837 37528 37548 42219 56292 56322 65674 75096 84438 98511 112584 112644 126657 131348 168876 197022 225288 253314 262696 295533 337752 394044 506628 591066 698959 788088 886599 1013256 1182132 1397918 1773198 2096877 2364264 2795836 3546396 4193754 4892713 5591672 6290631 7092792 8387508 9785426 12581262 14678139 16775016 18871893 19570852 25162524 29356278 37743786 39141704 44034417 50325048 58712556 75487572 88068834 117425112 132103251 150975144 176137668 264206502 352275336 528413004 1056826008