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4164496 = 247192103
BaseRepresentation
bin1111111000101110010000
321211120121121
433320232100
52031230441
6225132024
750253250
oct17705620
97746547
104164496
112394936
12148a014
13b2a6cb
147a5960
15573dd1
hex3f8b90

4164496 has 60 divisors (see below), whose sum is σ = 9826752. Its totient is φ = 1674432.

The previous prime is 4164481. The next prime is 4164497. The reversal of 4164496 is 6944614.

4164496 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4164497) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40381 + ... + 40483.

Almost surely, 24164496 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 4164496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4913376).

4164496 is an abundant number, since it is smaller than the sum of its proper divisors (5662256).

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

4164496 is a wasteful number, since it uses less digits than its factorization.

4164496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 131 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 4164496 is about 2040.7096804788. The cubic root of 4164496 is about 160.8869491721.

The spelling of 4164496 in words is "four million, one hundred sixty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 103 112 133 152 206 266 304 361 412 532 721 722 824 1064 1442 1444 1648 1957 2128 2527 2884 2888 3914 5054 5768 5776 7828 10108 11536 13699 15656 20216 27398 31312 37183 40432 54796 74366 109592 148732 219184 260281 297464 520562 594928 1041124 2082248 4164496