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852940224 = 26327431993
BaseRepresentation
bin110010110101101…
…101010111000000
32012102221212000200
4302311231113000
53221323041344
6220345245200
730064605123
oct6265552700
92172855020
10852940224
113a850a684
121b9793800
1310792a676
14813ca3ba
154ed33069
hex32d6d5c0

852940224 has 84 divisors (see below), whose sum is σ = 2449317936. Its totient is φ = 283788288.

The previous prime is 852940189. The next prime is 852940241. The reversal of 852940224 is 422049258.

852940224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 426972 + ... + 428964.

Almost surely, 2852940224 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 852940224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224658968).

852940224 is an abundant number, since it is smaller than the sum of its proper divisors (1596377712).

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

852940224 is a wasteful number, since it uses less digits than its factorization.

852940224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 852940224 is about 29205.1403694624. The cubic root of 852940224 is about 948.3592079970.

The spelling of 852940224 in words is "eight hundred fifty-two million, nine hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 743 1486 1993 2229 2972 3986 4458 5944 5979 6687 7972 8916 11888 11958 13374 15944 17832 17937 23776 23916 26748 31888 35664 35874 47552 47832 53496 63776 71328 71748 95664 106992 127552 142656 143496 191328 213984 286992 382656 427968 573984 1147968 1480799 2961598 4442397 5923196 8884794 11846392 13327191 17769588 23692784 26654382 35539176 47385568 53308764 71078352 94771136 106617528 142156704 213235056 284313408 426470112 852940224