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21248416 = 257293271
BaseRepresentation
bin101000100001…
…1100110100000
31110222112100101
41101003212200
520414422131
62035232144
7345415510
oct121034640
943875311
1021248416
1110aa3282
127148654
13452c737
142b71840
151ceac61
hex14439a0

21248416 has 48 divisors (see below), whose sum is σ = 49472640. Its totient is φ = 8789760.

The previous prime is 21248411. The next prime is 21248417. The reversal of 21248416 is 61484212.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21248411) 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, 4861 + ... + 8131.

It is an arithmetic number, because the mean of its divisors is an integer number (1030680).

Almost surely, 221248416 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 21248416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24736320).

21248416 is an abundant number, since it is smaller than the sum of its proper divisors (28224224).

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

21248416 is a wasteful number, since it uses less digits than its factorization.

21248416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3317 (or 3309 counting only the distinct ones).

The product of its digits is 3072, while the sum is 28.

The square root of 21248416 is about 4609.6004165220. The cubic root of 21248416 is about 276.9760304560.

The spelling of 21248416 in words is "twenty-one million, two hundred forty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1624 3248 3271 6496 6542 13084 22897 26168 45794 52336 91588 94859 104672 183176 189718 366352 379436 664013 732704 758872 1328026 1517744 2656052 3035488 5312104 10624208 21248416