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4113816 = 233747521
BaseRepresentation
bin1111101100010110011000
321202000002120
433230112120
52023120231
6224101240
746652430
oct17542630
97660076
104113816
11235a853
121464820
13b10615
147912c0
15563d96
hex3ec598

4113816 has 64 divisors (see below), whose sum is σ = 12026880. Its totient is φ = 1148160.

The previous prime is 4113787. The next prime is 4113827. The reversal of 4113816 is 6183114.

4113816 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 (24).

It is a nude number because it is divisible by every one of its digits.

4113816 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7636 + ... + 8156.

It is an arithmetic number, because the mean of its divisors is an integer number (187920).

Almost surely, 24113816 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 4113816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6013440).

4113816 is an abundant number, since it is smaller than the sum of its proper divisors (7913064).

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

4113816 is a wasteful number, since it uses less digits than its factorization.

4113816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 580 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 4113816 is about 2028.2544219106. The cubic root of 4113816 is about 160.2316436375.

The spelling of 4113816 in words is "four million, one hundred thirteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 141 168 188 282 329 376 521 564 658 987 1042 1128 1316 1563 1974 2084 2632 3126 3647 3948 4168 6252 7294 7896 10941 12504 14588 21882 24487 29176 43764 48974 73461 87528 97948 146922 171409 195896 293844 342818 514227 587688 685636 1028454 1371272 2056908 4113816