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13022448 = 24319109131
BaseRepresentation
bin110001101011…
…010011110000
3220111121102220
4301223103300
511313204243
61143041040
7215455215
oct61532360
926447386
1013022448
117394a5a
124440180
13290c4ba
141a2db0c
151223783
hexc6b4f0

13022448 has 80 divisors (see below), whose sum is σ = 36009600. Its totient is φ = 4043520.

The previous prime is 13022441. The next prime is 13022497. The reversal of 13022448 is 84422031.

13022448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99343 + ... + 99473.

It is an arithmetic number, because the mean of its divisors is an integer number (450120).

Almost surely, 213022448 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 13022448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18004800).

13022448 is an abundant number, since it is smaller than the sum of its proper divisors (22987152).

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

13022448 is a wasteful number, since it uses less digits than its factorization.

13022448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 13022448 is about 3608.6629102758. The cubic root of 13022448 is about 235.2687313592.

Adding to 13022448 its reverse (84422031), we get a palindrome (97444479).

It can be divided in two parts, 130 and 22448, that added together give a triangular number (22578 = T212).

The spelling of 13022448 in words is "thirteen million, twenty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 109 114 131 152 218 228 262 304 327 393 436 456 524 654 786 872 912 1048 1308 1572 1744 2071 2096 2489 2616 3144 4142 4978 5232 6213 6288 7467 8284 9956 12426 14279 14934 16568 19912 24852 28558 29868 33136 39824 42837 49704 57116 59736 85674 99408 114232 119472 171348 228464 271301 342696 542602 685392 813903 1085204 1627806 2170408 3255612 4340816 6511224 13022448