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84960486 = 232131093331
BaseRepresentation
bin1010001000001…
…10010011100110
312220212102212200
411010012103212
5133222213421
612232555330
72051103132
oct504062346
9186772780
1084960486
1143a5a086
1224552b46
13147a91a0
14b3d83c2
1576d3726
hex51064e6

84960486 has 48 divisors (see below), whose sum is σ = 200119920. Its totient is φ = 25894080.

The previous prime is 84960479. The next prime is 84960497. The reversal of 84960486 is 68406948.

It is a happy number.

84960486 is a `hidden beast` number, since 84 + 96 + 0 + 486 = 666.

It is a Curzon number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 23841 + ... + 27171.

It is an arithmetic number, because the mean of its divisors is an integer number (4169165).

Almost surely, 284960486 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84960486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100059960).

84960486 is an abundant number, since it is smaller than the sum of its proper divisors (115159434).

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

84960486 is a wasteful number, since it uses less digits than its factorization.

84960486 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3461 (or 3458 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 84960486 is about 9217.4012606591. The cubic root of 84960486 is about 439.6148247624.

The spelling of 84960486 in words is "eighty-four million, nine hundred sixty thousand, four hundred eighty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 109 117 218 234 327 654 981 1417 1962 2834 3331 4251 6662 8502 9993 12753 19986 25506 29979 43303 59958 86606 129909 259818 363079 389727 726158 779454 1089237 2178474 3267711 4720027 6535422 9440054 14160081 28320162 42480243 84960486