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28457226 = 2327713181
BaseRepresentation
bin110110010001…
…1100100001010
31222112202222100
41230203210022
524241112401
62453534230
7463611450
oct154434412
958482870
1028457226
1115077376
129644376
135b849c5
143aca9d0
152771b86
hex1b2390a

28457226 has 48 divisors (see below), whose sum is σ = 71480448. Its totient is φ = 8013600.

The previous prime is 28457213. The next prime is 28457227. The reversal of 28457226 is 62275482.

28457226 is a `hidden beast` number, since 2 + 84 + 572 + 2 + 6 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (28457227) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7356 + ... + 10536.

It is an arithmetic number, because the mean of its divisors is an integer number (1489176).

Almost surely, 228457226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28457226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35740224).

28457226 is an abundant number, since it is smaller than the sum of its proper divisors (43023222).

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

28457226 is a wasteful number, since it uses less digits than its factorization.

28457226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3267 (or 3264 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 28457226 is about 5334.5314695857. The cubic root of 28457226 is about 305.3028470904.

The spelling of 28457226 in words is "twenty-eight million, four hundred fifty-seven thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 71 126 142 213 426 497 639 994 1278 1491 2982 3181 4473 6362 8946 9543 19086 22267 28629 44534 57258 66801 133602 200403 225851 400806 451702 677553 1355106 1580957 2032659 3161914 4065318 4742871 9485742 14228613 28457226