Search a number
-
+
84925404 = 223217193719
BaseRepresentation
bin1010000111111…
…01101111011100
312220210122202100
411003331233130
5133220103104
612232125100
72050565634
oct503755734
9186718670
1084925404
1143a35793
1224536790
1314796225
14b3c96c4
1576c8139
hex50fdbdc

84925404 has 72 divisors (see below), whose sum is σ = 228795840. Its totient is φ = 26468352.

The previous prime is 84925363. The next prime is 84925409. The reversal of 84925404 is 40452948.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84925409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117757 + ... + 118475.

It is an arithmetic number, because the mean of its divisors is an integer number (3177720).

Almost surely, 284925404 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 84925404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114397920).

84925404 is an abundant number, since it is smaller than the sum of its proper divisors (143870436).

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

84925404 is a wasteful number, since it uses less digits than its factorization.

84925404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 84925404 is about 9215.4980332047. The cubic root of 84925404 is about 439.5543076473.

The spelling of 84925404 in words is "eighty-four million, nine hundred twenty-five thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 193 204 306 386 579 612 719 772 1158 1438 1737 2157 2316 2876 3281 3474 4314 6471 6562 6948 8628 9843 12223 12942 13124 19686 24446 25884 29529 36669 39372 48892 59058 73338 110007 118116 138767 146676 220014 277534 416301 440028 555068 832602 1248903 1665204 2359039 2497806 4718078 4995612 7077117 9436156 14154234 21231351 28308468 42462702 84925404