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4420096 = 298997
BaseRepresentation
bin10000110111001000000000
322022120020021
4100313020000
52112420341
6234423224
752366402
oct20671000
98276207
104420096
11254997a
121591b14
13bb9b55
14830b72
155c49d1
hex437200

4420096 has 40 divisors (see below), whose sum is σ = 9022860. Its totient is φ = 2162688.

The previous prime is 4420081. The next prime is 4420127. The reversal of 4420096 is 6900244.

It can be written as a sum of positive squares in 2 ways, for example, as 4260096 + 160000 = 2064^2 + 400^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4420096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45520 + ... + 45616.

Almost surely, 24420096 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 4420096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4511430).

4420096 is an abundant number, since it is smaller than the sum of its proper divisors (4602764).

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

4420096 is an frugal number, since it uses more digits than its factorization.

4420096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 4420096 is about 2102.4024353106. The cubic root of 4420096 is about 164.1133461933.

The spelling of 4420096 in words is "four million, four hundred twenty thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 89 97 128 178 194 256 356 388 512 712 776 1424 1552 2848 3104 5696 6208 8633 11392 12416 17266 22784 24832 34532 45568 49664 69064 138128 276256 552512 1105024 2210048 4420096