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2828372850 = 233524314861
BaseRepresentation
bin1010100010010101…
…1000101101110010
321022010002020011000
42220211120231302
521243030412400
61144353502430
7130042525662
oct25045305562
97263066130
102828372850
1112215a7426
1266b271a16
13360c82704
141cb8cc1a2
15118491600
hexa8958b72

2828372850 has 96 divisors (see below), whose sum is σ = 7813428480. Its totient is φ = 752328000.

The previous prime is 2828372831. The next prime is 2828372861. The reversal of 2828372850 is 582738282.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2828372796 and 2828372805.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 579420 + ... + 584280.

It is an arithmetic number, because the mean of its divisors is an integer number (81389880).

Almost surely, 22828372850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2828372850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906714240).

2828372850 is an abundant number, since it is smaller than the sum of its proper divisors (4985055630).

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

2828372850 is a wasteful number, since it uses less digits than its factorization.

2828372850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5313 (or 5302 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 2828372850 is about 53182.4487025560. The cubic root of 2828372850 is about 1414.2045165242.

The spelling of 2828372850 in words is "two billion, eight hundred twenty-eight million, three hundred seventy-two thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 431 450 675 862 1293 1350 2155 2586 3879 4310 4861 6465 7758 9722 10775 11637 12930 14583 19395 21550 23274 24305 29166 32325 38790 43749 48610 58185 64650 72915 87498 96975 116370 121525 131247 145830 193950 218745 243050 262494 290925 364575 437490 581850 656235 729150 1093725 1312470 2095091 2187450 3281175 4190182 6285273 6562350 10475455 12570546 18855819 20950910 31426365 37711638 52377275 56567457 62852730 94279095 104754550 113134914 157131825 188558190 282837285 314263650 471395475 565674570 942790950 1414186425 2828372850