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4415068 = 2271943193
BaseRepresentation
bin10000110101111001011100
322022022100001
4100311321130
52112240233
6234344044
752345630
oct20657134
98268301
104415068
112546119
12158b024
13bb7788
1482cdc0
155c327d
hex435e5c

4415068 has 48 divisors (see below), whose sum is σ = 9560320. Its totient is φ = 1741824.

The previous prime is 4415041. The next prime is 4415069. The reversal of 4415068 is 8605144.

4415068 is digitally balanced in base 8, 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 (28).

It is an Ulam number.

4415068 is strictly pandigital in base 8.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4415069) 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, 22780 + ... + 22972.

Almost surely, 24415068 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 4415068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4780160).

4415068 is an abundant number, since it is smaller than the sum of its proper divisors (5145252).

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

4415068 is a wasteful number, since it uses less digits than its factorization.

4415068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 4415068 is about 2101.2063201885. The cubic root of 4415068 is about 164.0510945299.

The spelling of 4415068 in words is "four million, four hundred fifteen thousand, sixty-eight".

Divisors: 1 2 4 7 14 19 28 38 43 76 86 133 172 193 266 301 386 532 602 772 817 1204 1351 1634 2702 3268 3667 5404 5719 7334 8299 11438 14668 16598 22876 25669 33196 51338 58093 102676 116186 157681 232372 315362 630724 1103767 2207534 4415068