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852416740 = 22573137907
BaseRepresentation
bin110010110011101…
…101100011100100
32012101222020221101
4302303231203210
53221204313430
6220330125444
730060265000
oct6263554344
92171866841
10852416740
113a819234a
121b9580884
131077a6306
14812d1700
154ec7cdca
hex32ced8e4

852416740 has 96 divisors (see below), whose sum is σ = 2105107200. Its totient is φ = 289804032.

The previous prime is 852416717. The next prime is 852416783. The reversal of 852416740 is 47614258.

It is a super-2 number, since 2×8524167402 = 1453228597264455200, 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 852416740.

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, 939367 + ... + 940273.

It is an arithmetic number, because the mean of its divisors is an integer number (21928200).

Almost surely, 2852416740 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 852416740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052553600).

852416740 is an abundant number, since it is smaller than the sum of its proper divisors (1252690460).

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

852416740 is a wasteful number, since it uses less digits than its factorization.

852416740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 852416740 is about 29196.1768045064. The cubic root of 852416740 is about 948.1651527919.

The spelling of 852416740 in words is "eight hundred fifty-two million, four hundred sixteen thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 137 140 196 245 274 343 490 548 685 686 907 959 980 1370 1372 1715 1814 1918 2740 3430 3628 3836 4535 4795 6349 6713 6860 9070 9590 12698 13426 18140 19180 25396 26852 31745 33565 44443 46991 63490 67130 88886 93982 124259 126980 134260 177772 187964 222215 234955 248518 311101 444430 469910 497036 621295 622202 869813 888860 939820 1242590 1244404 1555505 1739626 2485180 3111010 3479252 4349065 6088691 6222020 8698130 12177382 17396260 24354764 30443455 42620837 60886910 85241674 121773820 170483348 213104185 426208370 852416740