Search a number
-
+
3608028 = 2232315361
BaseRepresentation
bin1101110000110111011100
320210022021200
431300313130
51410424103
6205155500
742445014
oct15606734
96708250
103608028
112044846
12125bb90
13994338
1469cc44
154b40a3
hex370ddc

3608028 has 72 divisors (see below), whose sum is σ = 9749376. Its totient is φ = 1123200.

The previous prime is 3607999. The next prime is 3608039. The reversal of 3608028 is 8208063.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3607992 and 3608010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59118 + ... + 59178.

It is an arithmetic number, because the mean of its divisors is an integer number (135408).

Almost surely, 23608028 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 3608028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4874688).

3608028 is an abundant number, since it is smaller than the sum of its proper divisors (6141348).

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

3608028 is a wasteful number, since it uses less digits than its factorization.

3608028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3608028 is about 1899.4809817421. The cubic root of 3608028 is about 153.3757265684.

The spelling of 3608028 in words is "three million, six hundred eight thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 53 61 62 93 106 122 124 159 183 186 212 244 279 318 366 372 477 549 558 636 732 954 1098 1116 1643 1891 1908 2196 3233 3286 3782 4929 5673 6466 6572 7564 9699 9858 11346 12932 14787 17019 19398 19716 22692 29097 29574 34038 38796 58194 59148 68076 100223 116388 200446 300669 400892 601338 902007 1202676 1804014 3608028