Search a number
-
+
3625668 = 223359569
BaseRepresentation
bin1101110101001011000100
320211012111000
431311023010
51412010133
6205413300
742550314
oct15651304
96735430
103625668
112057022
12126a230
1399c387
146a5444
154b9413
hex3752c4

3625668 has 48 divisors (see below), whose sum is σ = 9576000. Its totient is φ = 1185984.

The previous prime is 3625649. The next prime is 3625669. The reversal of 3625668 is 8665263.

3625668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3625669) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6088 + ... + 6656.

It is an arithmetic number, because the mean of its divisors is an integer number (199500).

Almost surely, 23625668 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 3625668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4788000).

3625668 is an abundant number, since it is smaller than the sum of its proper divisors (5950332).

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

3625668 is a wasteful number, since it uses less digits than its factorization.

3625668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 633 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 3625668 is about 1904.1186937794. The cubic root of 3625668 is about 153.6252766019.

The spelling of 3625668 in words is "three million, six hundred twenty-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 108 118 177 236 354 531 569 708 1062 1138 1593 1707 2124 2276 3186 3414 5121 6372 6828 10242 15363 20484 30726 33571 61452 67142 100713 134284 201426 302139 402852 604278 906417 1208556 1812834 3625668