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5223792 = 243722221
BaseRepresentation
bin10011111011010101110000
3100211101200210
4103323111300
52314130132
6303544120
762254500
oct23732560
910741623
105223792
112a48792
1218bb040
13110b902
1499da00
156d2bcc
hex4fb570

5223792 has 60 divisors (see below), whose sum is σ = 15705096. Its totient is φ = 1491840.

The previous prime is 5223781. The next prime is 5223793. The reversal of 5223792 is 2973225.

It is a happy number.

It is a d-powerful number, because it can be written as 59 + 27 + 219 + 312 + 76 + 9 + 221 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5223793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1242 + ... + 3462.

Almost surely, 25223792 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 5223792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7852548).

5223792 is an abundant number, since it is smaller than the sum of its proper divisors (10481304).

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

5223792 is a wasteful number, since it uses less digits than its factorization.

5223792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246 (or 2233 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 5223792 is about 2285.5616377600. The cubic root of 5223792 is about 173.5116442506.

The spelling of 5223792 in words is "five million, two hundred twenty-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2221 2352 4442 6663 8884 13326 15547 17768 26652 31094 35536 46641 53304 62188 93282 106608 108829 124376 186564 217658 248752 326487 373128 435316 652974 746256 870632 1305948 1741264 2611896 5223792