Search a number
-
+
7258064 = 2411223163
BaseRepresentation
bin11011101011111111010000
3111122202012012
4123223333100
53324224224
6415322052
7115456352
oct33537720
914582165
107258064
114108100
122520328
131671818
14d6d0d2
1598580e
hex6ebfd0

7258064 has 60 divisors (see below), whose sum is σ = 16228128. Its totient is φ = 3136320.

The previous prime is 7258063. The next prime is 7258067. The reversal of 7258064 is 4608527.

It is a self number, because there is not a number n which added to its sum of digits gives 7258064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7258063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44447 + ... + 44609.

Almost surely, 27258064 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 7258064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8114064).

7258064 is an abundant number, since it is smaller than the sum of its proper divisors (8970064).

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

7258064 is a wasteful number, since it uses less digits than its factorization.

7258064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 7258064 is about 2694.0794346121. The cubic root of 7258064 is about 193.6155634871.

The spelling of 7258064 in words is "seven million, two hundred fifty-eight thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 121 163 176 184 242 253 326 368 484 506 652 968 1012 1304 1793 1936 2024 2608 2783 3586 3749 4048 5566 7172 7498 11132 14344 14996 19723 22264 28688 29992 39446 41239 44528 59984 78892 82478 157784 164956 315568 329912 453629 659824 907258 1814516 3629032 7258064