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4090164 = 22313157167
BaseRepresentation
bin1111100110100100110100
321200210122120
433212210310
52021341124
6223355540
746523451
oct17464464
97623576
104090164
112344001
121452bb0
13b02920
14786828
1555bd79
hex3e6934

4090164 has 48 divisors (see below), whose sum is σ = 10405248. Its totient is φ = 1243008.

The previous prime is 4090153. The next prime is 4090193. The reversal of 4090164 is 4610904.

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, 24409 + ... + 24575.

It is an arithmetic number, because the mean of its divisors is an integer number (216776).

Almost surely, 24090164 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 4090164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5202624).

4090164 is an abundant number, since it is smaller than the sum of its proper divisors (6315084).

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

4090164 is a wasteful number, since it uses less digits than its factorization.

4090164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 4090164 is about 2022.4153875997. The cubic root of 4090164 is about 159.9239742980.

The spelling of 4090164 in words is "four million, ninety thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 157 167 314 334 471 501 628 668 942 1002 1884 2004 2041 2171 4082 4342 6123 6513 8164 8684 12246 13026 24492 26052 26219 52438 78657 104876 157314 314628 340847 681694 1022541 1363388 2045082 4090164