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21828352 = 28713937
BaseRepresentation
bin101001101000…
…1001100000000
31112001222212111
41103101030000
521042001402
62055505104
7353352340
oct123211400
945058774
1021828352
1111359a67
127388194
1346a36b0
142c82d20
151db29d7
hex14d1300

21828352 has 72 divisors (see below), whose sum is σ = 53683616. Its totient is φ = 8626176.

The previous prime is 21828349. The next prime is 21828353. The reversal of 21828352 is 25382812.

It is not an unprimeable number, because it can be changed into a prime (21828353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22828 + ... + 23764.

Almost surely, 221828352 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 21828352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26841808).

21828352 is an abundant number, since it is smaller than the sum of its proper divisors (31855264).

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

21828352 is an equidigital number, since it uses as much as digits as its factorization.

21828352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 959 counting only the distinct ones).

The product of its digits is 7680, while the sum is 31.

The square root of 21828352 is about 4672.0821910579. The cubic root of 21828352 is about 279.4732955585.

The spelling of 21828352 in words is "twenty-one million, eight hundred twenty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 728 832 896 937 1456 1664 1792 1874 2912 3328 3748 5824 6559 7496 11648 12181 13118 14992 23296 24362 26236 29984 48724 52472 59968 85267 97448 104944 119936 170534 194896 209888 239872 341068 389792 419776 682136 779584 839552 1364272 1559168 1679104 2728544 3118336 5457088 10914176 21828352