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855611344 = 24721971809
BaseRepresentation
bin110010111111111…
…001011111010000
32012121222120010001
4302333321133100
53223014030334
6220522415344
730126401500
oct6277713720
92177876101
10855611344
113a9a74515
121ba661554
13108354403
14818c3a00
15501ae714
hex32ff97d0

855611344 has 120 divisors (see below), whose sum is σ = 2061028800. Its totient is φ = 342074880.

The previous prime is 855611261. The next prime is 855611353. The reversal of 855611344 is 443116558.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1057212 + ... + 1058020.

It is an arithmetic number, because the mean of its divisors is an integer number (17175240).

Almost surely, 2855611344 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 855611344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030514400).

855611344 is an abundant number, since it is smaller than the sum of its proper divisors (1205417456).

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

855611344 is a wasteful number, since it uses less digits than its factorization.

855611344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 908 counting only the distinct ones).

The product of its digits is 57600, while the sum is 37.

The square root of 855611344 is about 29250.8349282546. The cubic root of 855611344 is about 949.3481563478.

It can be divided in two parts, 8556 and 11344, that added together give a triangular number (19900 = T199).

The spelling of 855611344 in words is "eight hundred fifty-five million, six hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 71 76 98 112 133 142 152 196 266 284 304 392 497 532 568 784 809 931 994 1064 1136 1349 1618 1862 1988 2128 2698 3236 3479 3724 3976 5396 5663 6472 6958 7448 7952 9443 10792 11326 12944 13916 14896 15371 18886 21584 22652 27832 30742 37772 39641 45304 55664 57439 61484 66101 75544 79282 90608 107597 114878 122968 132202 151088 158564 215194 229756 245936 264404 317128 402073 430388 459512 528808 634256 753179 804146 860776 919024 1057616 1091341 1506358 1608292 1721552 2182682 2814511 3012716 3216584 4365364 5629022 6025432 6433168 7639387 8730728 11258044 12050864 15278774 17461456 22516088 30557548 45032176 53475709 61115096 106951418 122230192 213902836 427805672 855611344