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5223456 = 253272591
BaseRepresentation
bin10011111011010000100000
3100211101020100
4103323100200
52314122311
6303542400
762253510
oct23732040
910741210
105223456
112a48507
1218baa00
13110b704
1499d840
156d2a56
hex4fb420

5223456 has 72 divisors (see below), whose sum is σ = 16982784. Its totient is φ = 1491840.

The previous prime is 5223431. The next prime is 5223457. The reversal of 5223456 is 6543225.

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

It is not an unprimeable number, because it can be changed into a prime (5223457) 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, 721 + ... + 3311.

It is an arithmetic number, because the mean of its divisors is an integer number (235872).

Almost surely, 25223456 is an apocalyptic number.

5223456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5223456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8491392).

5223456 is an abundant number, since it is smaller than the sum of its proper divisors (11759328).

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

5223456 is a wasteful number, since it uses less digits than its factorization.

5223456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2614 (or 2603 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 5223456 is about 2285.4881316690. The cubic root of 5223456 is about 173.5079240181.

The spelling of 5223456 in words is "five million, two hundred twenty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 2591 5182 7773 10364 15546 18137 20728 23319 31092 36274 41456 46638 54411 62184 72548 82912 93276 108822 124368 145096 163233 186552 217644 248736 290192 326466 373104 435288 580384 652932 746208 870576 1305864 1741152 2611728 5223456