Search a number
-
+
21553408 = 28591427
BaseRepresentation
bin101001000111…
…0000100000000
31111120000201101
41102032010000
521004202113
62045544144
7351125632
oct122160400
944500641
1021553408
1111191438
127275054
1346084c6
142c10a52
151d5b2dd
hex148e100

21553408 has 36 divisors (see below), whose sum is σ = 43782480. Its totient is φ = 10586624.

The previous prime is 21553403. The next prime is 21553417. The reversal of 21553408 is 80435512.

It is not an unprimeable number, because it can be changed into a prime (21553403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14391 + ... + 15817.

It is an arithmetic number, because the mean of its divisors is an integer number (1216180).

Almost surely, 221553408 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 21553408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21891240).

21553408 is an abundant number, since it is smaller than the sum of its proper divisors (22229072).

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

21553408 is an equidigital number, since it uses as much as digits as its factorization.

21553408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 21553408 is about 4642.5648083791. The cubic root of 21553408 is about 278.2949442873.

The spelling of 21553408 in words is "twenty-one million, five hundred fifty-three thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 472 944 1427 1888 2854 3776 5708 7552 11416 15104 22832 45664 84193 91328 168386 182656 336772 365312 673544 1347088 2694176 5388352 10776704 21553408