Search a number
-
+
13322848 = 257115407
BaseRepresentation
bin110010110100…
…101001100000
3221001212111211
4302310221200
511402312343
61153315504
7221146060
oct62645140
927055454
1013322848
11757a720
124565b94
1329b6156
141aab3a0
15128279d
hexcb4a60

13322848 has 48 divisors (see below), whose sum is σ = 32707584. Its totient is φ = 5189760.

The previous prime is 13322843. The next prime is 13322873. The reversal of 13322848 is 84822331.

It is a super-2 number, since 2×133228482 = 354996557662208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13322843) 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, 240 + ... + 5167.

It is an arithmetic number, because the mean of its divisors is an integer number (681408).

Almost surely, 213322848 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 13322848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16353792).

13322848 is an abundant number, since it is smaller than the sum of its proper divisors (19384736).

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

13322848 is a wasteful number, since it uses less digits than its factorization.

13322848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5435 (or 5427 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

The square root of 13322848 is about 3650.0476709216. The cubic root of 13322848 is about 237.0640453118.

The spelling of 13322848 in words is "thirteen million, three hundred twenty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 5407 10814 21628 37849 43256 59477 75698 86512 118954 151396 173024 237908 302792 416339 475816 605584 832678 951632 1211168 1665356 1903264 3330712 6661424 13322848