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842574852 = 223374325919
BaseRepresentation
bin110010001110001…
…010110000000100
32011201110020102000
4302032022300010
53211144343402
6215335145300
726610524310
oct6216126004
92151406360
10842574852
113a267aa59
121b6215230
1310573b702
147dc8cb40
154de86c1c
hex3238ac04

842574852 has 96 divisors (see below), whose sum is σ = 2554675200. Its totient is φ = 235128096.

The previous prime is 842574793. The next prime is 842574853. The reversal of 842574852 is 258475248.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 842574798 and 842574807.

It is not an unprimeable number, because it can be changed into a prime (842574853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19549 + ... + 45467.

It is an arithmetic number, because the mean of its divisors is an integer number (26611200).

Almost surely, 2842574852 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 842574852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277337600).

842574852 is an abundant number, since it is smaller than the sum of its proper divisors (1712100348).

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

842574852 is a wasteful number, since it uses less digits than its factorization.

842574852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25982 (or 25974 counting only the distinct ones).

The product of its digits is 716800, while the sum is 45.

The square root of 842574852 is about 29027.1399211152. The cubic root of 842574852 is about 944.5018891667.

The spelling of 842574852 in words is "eight hundred forty-two million, five hundred seventy-four thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 43 54 63 84 86 108 126 129 172 189 252 258 301 378 387 516 602 756 774 903 1161 1204 1548 1806 2322 2709 3612 4644 5418 8127 10836 16254 25919 32508 51838 77757 103676 155514 181433 233271 311028 362866 466542 544299 699813 725732 933084 1088598 1114517 1399626 1632897 2177196 2229034 2799252 3265794 3343551 4458068 4898691 6531588 6687102 7801619 9797382 10030653 13374204 15603238 19594764 20061306 23404857 30091959 31206476 40122612 46809714 60183918 70214571 93619428 120367836 140429142 210643713 280858284 421287426 842574852