Search a number
-
+
7680552 = 2331147619
BaseRepresentation
bin11101010011001000101000
3112110012201220
4131103020220
53431234202
6432342040
7122166165
oct35231050
915405656
107680552
114376570
1226a4920
13178bc09
14103d06c
15a1aabc
hex753228

7680552 has 64 divisors (see below), whose sum is σ = 21427200. Its totient is φ = 2274240.

The previous prime is 7680539. The next prime is 7680553. The reversal of 7680552 is 2550867.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (7680553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12099 + ... + 12717.

It is an arithmetic number, because the mean of its divisors is an integer number (334800).

Almost surely, 27680552 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 7680552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10713600).

7680552 is an abundant number, since it is smaller than the sum of its proper divisors (13746648).

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

7680552 is a wasteful number, since it uses less digits than its factorization.

7680552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 7680552 is about 2771.3808832421. The cubic root of 7680552 is about 197.3016927397.

The spelling of 7680552 in words is "seven million, six hundred eighty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 188 264 282 376 517 564 619 1034 1128 1238 1551 1857 2068 2476 3102 3714 4136 4952 6204 6809 7428 12408 13618 14856 20427 27236 29093 40854 54472 58186 81708 87279 116372 163416 174558 232744 320023 349116 640046 698232 960069 1280092 1920138 2560184 3840276 7680552