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21793248 = 2532312441
BaseRepresentation
bin101001100100…
…0100111100000
31112000012201100
41103020213200
521034340443
62055034400
7353145111
oct123104740
945005640
1021793248
1111335654
12736ba00
134690719
142c74208
151da73d3
hex14c89e0

21793248 has 72 divisors (see below), whose sum is σ = 63999936. Its totient is φ = 7027200.

The previous prime is 21793241. The next prime is 21793253. The reversal of 21793248 is 84239712.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21793241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7708 + ... + 10148.

It is an arithmetic number, because the mean of its divisors is an integer number (888888).

Almost surely, 221793248 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 21793248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31999968).

21793248 is an abundant number, since it is smaller than the sum of its proper divisors (42206688).

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

21793248 is a wasteful number, since it uses less digits than its factorization.

21793248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 2477 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 21793248 is about 4668.3238962180. The cubic root of 21793248 is about 279.3234003768.

The spelling of 21793248 in words is "twenty-one million, seven hundred ninety-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2441 2976 4464 4882 7323 8928 9764 14646 19528 21969 29292 39056 43938 58584 75671 78112 87876 117168 151342 175752 227013 234336 302684 351504 454026 605368 681039 703008 908052 1210736 1362078 1816104 2421472 2724156 3632208 5448312 7264416 10896624 21793248