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855190494 = 233193132663
BaseRepresentation
bin110010111110010…
…010101111011110
32012121012011211000
4302332102233132
53222412043434
6220505411130
730122666514
oct6276225736
92177164730
10855190494
113a9807304
121ba499aa6
131082379a2
14818144b4
1550129b99
hex32f92bde

855190494 has 64 divisors (see below), whose sum is σ = 2007590400. Its totient is φ = 269096256.

The previous prime is 855190489. The next prime is 855190519. The reversal of 855190494 is 494091558.

855190494 is a `hidden beast` number, since 8 + 551 + 9 + 0 + 4 + 94 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 319807 + ... + 322469.

It is an arithmetic number, because the mean of its divisors is an integer number (31368600).

Almost surely, 2855190494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 855190494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003795200).

855190494 is an abundant number, since it is smaller than the sum of its proper divisors (1152399906).

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

855190494 is a wasteful number, since it uses less digits than its factorization.

855190494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 855190494 is about 29243.6402316811. The cubic root of 855190494 is about 949.1924786956.

The spelling of 855190494 in words is "eight hundred fifty-five million, one hundred ninety thousand, four hundred ninety-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 313 342 513 626 939 1026 1878 2663 2817 5326 5634 5947 7989 8451 11894 15978 16902 17841 23967 35682 47934 50597 53523 71901 101194 107046 143802 151791 160569 303582 321138 455373 833519 910746 1366119 1667038 2500557 2732238 5001114 7501671 15003342 15836861 22505013 31673722 45010026 47510583 95021166 142531749 285063498 427595247 855190494