Search a number
-
+
5228874 = 23572953
BaseRepresentation
bin10011111100100101001010
3100211122200000
4103330211022
52314310444
6304023430
762305350
oct23744512
910748600
105228874
112a51592
121901b76
131111011
149a17d0
156d4469
hex4fc94a

5228874 has 96 divisors (see below), whose sum is σ = 14152320. Its totient is φ = 1415232.

The previous prime is 5228869. The next prime is 5228893. The reversal of 5228874 is 4788225.

It is a happy number.

5228874 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×52288742 = 54682246615752, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98632 + ... + 98684.

It is an arithmetic number, because the mean of its divisors is an integer number (147420).

Almost surely, 25228874 is an apocalyptic number.

5228874 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5228874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076160).

5228874 is an abundant number, since it is smaller than the sum of its proper divisors (8923446).

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

5228874 is a wasteful number, since it uses less digits than its factorization.

5228874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 94 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 5228874 is about 2286.6731292426. The cubic root of 5228874 is about 173.5678933240.

The spelling of 5228874 in words is "five million, two hundred twenty-eight thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 53 54 58 63 81 87 106 126 159 162 174 189 203 243 261 318 371 378 406 477 486 522 567 609 742 783 954 1113 1134 1218 1431 1537 1566 1701 1827 2226 2349 2862 3074 3339 3402 3654 4293 4611 4698 5481 6678 7047 8586 9222 10017 10759 10962 12879 13833 14094 16443 20034 21518 25758 27666 30051 32277 32886 41499 49329 60102 64554 82998 90153 96831 98658 124497 180306 193662 248994 290493 373491 580986 746982 871479 1742958 2614437 5228874