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1052839590 = 2351119167917
BaseRepresentation
bin111110110000010…
…000111010100110
32201101002210101220
4332300100322212
54124011331330
6252250001210
735042663115
oct7660207246
92641083356
101052839590
114a0333a70
12254716206
1313a17ac0a
149db83c7c
156266c710
hex3ec10ea6

1052839590 has 64 divisors (see below), whose sum is σ = 2901623040. Its totient is φ = 241799040.

The previous prime is 1052839553. The next prime is 1052839603. The reversal of 1052839590 is 959382501.

1052839590 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10528395902 = 2216942404542736200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77689 + ... + 90228.

It is an arithmetic number, because the mean of its divisors is an integer number (45337860).

Almost surely, 21052839590 is an apocalyptic number.

1052839590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1052839590 is an abundant number, since it is smaller than the sum of its proper divisors (1848783450).

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

1052839590 is a wasteful number, since it uses less digits than its factorization.

1052839590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167957.

The product of its (nonzero) digits is 97200, while the sum is 42.

The square root of 1052839590 is about 32447.4897334139. The cubic root of 1052839590 is about 1017.3117698603.

The spelling of 1052839590 in words is "one billion, fifty-two million, eight hundred thirty-nine thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 1045 1254 2090 3135 6270 167917 335834 503751 839585 1007502 1679170 1847087 2518755 3190423 3694174 5037510 5541261 6380846 9235435 9571269 11082522 15952115 18470870 19142538 27706305 31904230 35094653 47856345 55412610 70189306 95712690 105283959 175473265 210567918 350946530 526419795 1052839590