Search a number
-
+
21483828 = 2232371272
BaseRepresentation
bin101000111110…
…1000100110100
31111102111021100
41101331010310
520444440303
62044250100
7350416032
oct121750464
944374240
1021483828
1111144133
127240930
1345b2932
142bd3552
151d458a3
hex147d134

21483828 has 54 divisors (see below), whose sum is σ = 56216706. Its totient is φ = 6912864.

The previous prime is 21483823. The next prime is 21483829. The reversal of 21483828 is 82838412.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 20903184 + 580644 = 4572^2 + 762^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21483792 and 21483801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21483823) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 169101 + ... + 169227.

Almost surely, 221483828 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 21483828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28108353).

21483828 is an abundant number, since it is smaller than the sum of its proper divisors (34732878).

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

21483828 is a wasteful number, since it uses less digits than its factorization.

21483828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 169 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 21483828 is about 4635.0650480872. The cubic root of 21483828 is about 277.9951519952.

The spelling of 21483828 in words is "twenty-one million, four hundred eighty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 127 148 222 254 333 381 444 508 666 762 1143 1332 1524 2286 4572 4699 9398 14097 16129 18796 28194 32258 42291 48387 56388 64516 84582 96774 145161 169164 193548 290322 580644 596773 1193546 1790319 2387092 3580638 5370957 7161276 10741914 21483828