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3826983810 = 2351388311113
BaseRepresentation
bin1110010000011011…
…0010001110000010
3100212201010220212010
43210012302032002
530314201440220
61431425313350
7163556553126
oct34406621602
910781126763
103826983810
111694261641
128a9795856
1348cb24580
14284397586
15175e9b1e0
hexe41b2382

3826983810 has 64 divisors (see below), whose sum is σ = 9903374208. Its totient is φ = 940875264.

The previous prime is 3826983793. The next prime is 3826983863. The reversal of 3826983810 is 183896283.

It is a super-2 number, since 2×38269838102 = 29291610164004232200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3826983810.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 338814 + ... + 349926.

It is an arithmetic number, because the mean of its divisors is an integer number (154740222).

Almost surely, 23826983810 is an apocalyptic number.

3826983810 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3826983810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4951687104).

3826983810 is an abundant number, since it is smaller than the sum of its proper divisors (6076390398).

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

3826983810 is a wasteful number, since it uses less digits than its factorization.

3826983810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12019.

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 3826983810 is about 61862.6204585612. The cubic root of 3826983810 is about 1564.1757250613.

The spelling of 3826983810 in words is "three billion, eight hundred twenty-six million, nine hundred eighty-three thousand, eight hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 883 1766 2649 4415 5298 8830 11113 11479 13245 22226 22958 26490 33339 34437 55565 57395 66678 68874 111130 114790 144469 166695 172185 288938 333390 344370 433407 722345 866814 1444690 2167035 4334070 9812779 19625558 29438337 49063895 58876674 98127790 127566127 147191685 255132254 294383370 382698381 637830635 765396762 1275661270 1913491905 3826983810