Search a number
-
+
7241088 = 273109173
BaseRepresentation
bin11011100111110110000000
3111121212220110
4123213312000
53323203323
6415111320
7115356021
oct33476600
914555813
107241088
1140a6378
122512540
131666b8a
14d66c48
15980793
hex6e7d80

7241088 has 64 divisors (see below), whose sum is σ = 19522800. Its totient is φ = 2377728.

The previous prime is 7241083. The next prime is 7241093. The reversal of 7241088 is 8801427.

7241088 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7241083) and next prime (7241093).

It is a tau number, because it is divible by the number of its divisors (64).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7241083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41770 + ... + 41942.

Almost surely, 27241088 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 7241088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9761400).

7241088 is an abundant number, since it is smaller than the sum of its proper divisors (12281712).

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

7241088 is a wasteful number, since it uses less digits than its factorization.

7241088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 7241088 is about 2690.9269778275. The cubic root of 7241088 is about 193.4644954856.

The spelling of 7241088 in words is "seven million, two hundred forty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 128 173 192 218 327 346 384 436 519 654 692 872 1038 1308 1384 1744 2076 2616 2768 3488 4152 5232 5536 6976 8304 10464 11072 13952 16608 18857 20928 22144 33216 37714 41856 56571 66432 75428 113142 150856 226284 301712 452568 603424 905136 1206848 1810272 2413696 3620544 7241088