Search a number
-
+
82604172 = 22371973709
BaseRepresentation
bin1001110110001…
…11000010001100
312202102201121210
410323013002030
5132121313142
612110254420
72022060330
oct473070214
9182381553
1082604172
114269a812
12237b7410
1314162811
14ad837c0
1573ba49c
hex4ec708c

82604172 has 96 divisors (see below), whose sum is σ = 235379200. Its totient is φ = 22021632.

The previous prime is 82604149. The next prime is 82604219. The reversal of 82604172 is 27140628.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116154 + ... + 116862.

Almost surely, 282604172 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 82604172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117689600).

82604172 is an abundant number, since it is smaller than the sum of its proper divisors (152775028).

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

82604172 is a wasteful number, since it uses less digits than its factorization.

82604172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 82604172 is about 9088.6837330826. The cubic root of 82604172 is about 435.5125363111.

The spelling of 82604172 in words is "eighty-two million, six hundred four thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 73 76 84 114 133 146 219 228 266 292 399 438 511 532 709 798 876 1022 1387 1418 1533 1596 2044 2127 2774 2836 3066 4161 4254 4963 5548 6132 8322 8508 9709 9926 13471 14889 16644 19418 19852 26942 29127 29778 38836 40413 51757 53884 58254 59556 80826 94297 103514 116508 155271 161652 188594 207028 282891 310542 362299 377188 565782 621084 724598 983383 1086897 1131564 1449196 1966766 2173794 2950149 3933532 4347588 5900298 6883681 11800596 13767362 20651043 27534724 41302086 82604172