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5211144 = 2332157461
BaseRepresentation
bin10011111000010000001000
3100210202100100
4103320100020
52313224034
6303405400
762202561
oct23702010
910722310
105211144
112a3a234
1218b3860
131105c23
14999168
156ce099
hex4f8408

5211144 has 48 divisors (see below), whose sum is σ = 14234220. Its totient is φ = 1722240.

The previous prime is 5211109. The next prime is 5211209. The reversal of 5211144 is 4411125.

5211144 is a `hidden beast` number, since 521 + 1 + 144 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5008644 + 202500 = 2238^2 + 450^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11074 + ... + 11534.

Almost surely, 25211144 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 5211144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7117110).

5211144 is an abundant number, since it is smaller than the sum of its proper divisors (9023076).

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

5211144 is a wasteful number, since it uses less digits than its factorization.

5211144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 623 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 5211144 is about 2282.7930260976. The cubic root of 5211144 is about 173.3714938992.

Adding to 5211144 its reverse (4411125), we get a palindrome (9622269).

The spelling of 5211144 in words is "five million, two hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 157 314 461 471 628 922 942 1256 1383 1413 1844 1884 2766 2826 3688 3768 4149 5532 5652 8298 11064 11304 16596 33192 72377 144754 217131 289508 434262 579016 651393 868524 1302786 1737048 2605572 5211144