Search a number
-
+
21456252 = 2234471409
BaseRepresentation
bin101000111011…
…0010101111100
31111101002110000
41101312111330
520443100002
62043514300
7350242446
oct121662574
944332400
1021456252
1111125444
127228990
1345a320c
142bc7496
151d3c61c
hex147657c

21456252 has 60 divisors (see below), whose sum is σ = 57324960. Its totient is φ = 6994944.

The previous prime is 21456251. The next prime is 21456257. The reversal of 21456252 is 25265412.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21456251) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14524 + ... + 15932.

It is an arithmetic number, because the mean of its divisors is an integer number (955416).

Almost surely, 221456252 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 21456252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28662480).

21456252 is an abundant number, since it is smaller than the sum of its proper divisors (35868708).

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

21456252 is a wasteful number, since it uses less digits than its factorization.

21456252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1461 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 21456252 is about 4632.0893773760. The cubic root of 21456252 is about 277.8761589772.

The spelling of 21456252 in words is "twenty-one million, four hundred fifty-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 162 188 282 324 423 564 846 1269 1409 1692 2538 2818 3807 4227 5076 5636 7614 8454 12681 15228 16908 25362 38043 50724 66223 76086 114129 132446 152172 198669 228258 264892 397338 456516 596007 794676 1192014 1788021 2384028 3576042 5364063 7152084 10728126 21456252