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21283488 = 2532671103
BaseRepresentation
bin101000100110…
…0001010100000
31111001022110100
41101030022200
520422032423
62040102400
7345622662
oct121141240
944038410
1021283488
1111017666
127164a00
1345426a5
142b80532
151d06343
hex144c2a0

21283488 has 72 divisors (see below), whose sum is σ = 61483968. Its totient is φ = 6982272.

The previous prime is 21283463. The next prime is 21283501. The reversal of 21283488 is 88438212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×212834882 = 905973722892288, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

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, 18745 + ... + 19847.

It is an arithmetic number, because the mean of its divisors is an integer number (853944).

Almost surely, 221283488 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 21283488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30741984).

21283488 is an abundant number, since it is smaller than the sum of its proper divisors (40200480).

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

21283488 is a wasteful number, since it uses less digits than its factorization.

21283488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1175 counting only the distinct ones).

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

The square root of 21283488 is about 4613.4030823244. The cubic root of 21283488 is about 277.1283361405.

The spelling of 21283488 in words is "twenty-one million, two hundred eighty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 201 268 288 402 536 603 804 1072 1103 1206 1608 2144 2206 2412 3216 3309 4412 4824 6432 6618 8824 9648 9927 13236 17648 19296 19854 26472 35296 39708 52944 73901 79416 105888 147802 158832 221703 295604 317664 443406 591208 665109 886812 1182416 1330218 1773624 2364832 2660436 3547248 5320872 7094496 10641744 21283488