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4495616 = 28171033
BaseRepresentation
bin10001001001100100000000
322110101211022
4101021210000
52122324431
6240205012
753132516
oct21114400
98411738
104495616
1125a0694
121609768
13c15338
148504b6
155dc07b
hex449900

4495616 has 36 divisors (see below), whose sum is σ = 9510732. Its totient is φ = 2113536.

The previous prime is 4495591. The next prime is 4495627. The reversal of 4495616 is 6165944.

It can be written as a sum of positive squares in 2 ways, for example, as 4000000 + 495616 = 2000^2 + 704^2 .

It is a zygodrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3836 + ... + 4868.

It is an arithmetic number, because the mean of its divisors is an integer number (264187).

Almost surely, 24495616 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 4495616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4755366).

4495616 is an abundant number, since it is smaller than the sum of its proper divisors (5015116).

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

4495616 is a wasteful number, since it uses less digits than its factorization.

4495616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1052 counting only the distinct ones).

The product of its digits is 25920, while the sum is 35.

The square root of 4495616 is about 2120.2867730569. The cubic root of 4495616 is about 165.0427315098.

It can be divided in two parts, 4 and 495616, that multiplied together give a square (1982464 = 14082).

The spelling of 4495616 in words is "four million, four hundred ninety-five thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1033 1088 2066 2176 4132 4352 8264 16528 17561 33056 35122 66112 70244 132224 140488 264448 280976 561952 1123904 2247808 4495616