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854073612 = 223376171831
BaseRepresentation
bin110010111010000…
…010000100001100
32012112002102202000
4302322002010030
53222120323422
6220425432300
730110335350
oct6272020414
92175072660
10854073612
113a9114167
121ba03b690
13107c36502
1481603460
154eea8cac
hex32e8210c

854073612 has 96 divisors (see below), whose sum is σ = 2536074240. Its totient is φ = 243492480.

The previous prime is 854073607. The next prime is 854073683. The reversal of 854073612 is 216370458.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 465537 + ... + 467367.

It is an arithmetic number, because the mean of its divisors is an integer number (26417440).

Almost surely, 2854073612 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 854073612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268037120).

854073612 is an abundant number, since it is smaller than the sum of its proper divisors (1682000628).

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

854073612 is a wasteful number, since it uses less digits than its factorization.

854073612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 854073612 is about 29224.5378406571. The cubic root of 854073612 is about 948.7790823624.

The spelling of 854073612 in words is "eight hundred fifty-four million, seventy-three thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 617 756 1234 1831 1851 2468 3662 3702 4319 5493 5553 7324 7404 8638 10986 11106 12817 12957 16479 16659 17276 21972 22212 25634 25914 32958 33318 38451 38871 49437 51268 51828 65916 66636 76902 77742 98874 115353 116613 153804 155484 197748 230706 233226 346059 461412 466452 692118 1129727 1384236 2259454 3389181 4518908 6778362 7908089 10167543 13556724 15816178 20335086 23724267 30502629 31632356 40670172 47448534 61005258 71172801 94897068 122010516 142345602 213518403 284691204 427036806 854073612