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4522496 = 2911273
BaseRepresentation
bin10001010000001000000000
322111202200212
4101100020000
52124204441
6240533252
753304056
oct21201000
98452625
104522496
112609900
121621228
13c24644
1485a1d6
155e4eeb
hex450200

4522496 has 60 divisors (see below), whose sum is σ = 10068366. Its totient is φ = 2027520.

The previous prime is 4522471. The next prime is 4522499. The reversal of 4522496 is 6942254.

It can be written as a sum of positive squares in only one way, i.e., 3748096 + 774400 = 1936^2 + 880^2 .

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (4522499) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61916 + ... + 61988.

Almost surely, 24522496 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 4522496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5034183).

4522496 is an abundant number, since it is smaller than the sum of its proper divisors (5545870).

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

4522496 is an equidigital number, since it uses as much as digits as its factorization.

4522496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 86 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 4522496 is about 2126.6160913526. The cubic root of 4522496 is about 165.3710169624.

Adding to 4522496 its sum of digits (32), we get a triangular number (4522528 = T3007).

The spelling of 4522496 in words is "four million, five hundred twenty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 73 88 121 128 146 176 242 256 292 352 484 512 584 704 803 968 1168 1408 1606 1936 2336 2816 3212 3872 4672 5632 6424 7744 8833 9344 12848 15488 17666 18688 25696 30976 35332 37376 51392 61952 70664 102784 141328 205568 282656 411136 565312 1130624 2261248 4522496