Search a number
-
+
7628004 = 2232211889
BaseRepresentation
bin11101000110010011100100
3112100112122200
4131012103210
53423044004
6431254500
7121560036
oct35062344
915315580
107628004
11434003a
12267a430
131771017
141027c56
15a0a239
hex7464e4

7628004 has 18 divisors (see below), whose sum is σ = 19281990. Its totient is φ = 2542656.

The previous prime is 7627981. The next prime is 7628011. The reversal of 7628004 is 4008267.

It can be written as a sum of positive squares in only one way, i.e., 7617600 + 10404 = 2760^2 + 102^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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 5 ways as a sum of consecutive naturals, for example, 105909 + ... + 105980.

Almost surely, 27628004 is an apocalyptic number.

It is an amenable number.

7628004 is an abundant number, since it is smaller than the sum of its proper divisors (11653986).

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

7628004 is a wasteful number, since it uses less digits than its factorization.

7628004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211899 (or 211894 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 7628004 is about 2761.8841394961. The cubic root of 7628004 is about 196.8507032752.

The spelling of 7628004 in words is "seven million, six hundred twenty-eight thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 211889 423778 635667 847556 1271334 1907001 2542668 3814002 7628004