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5258106 = 2327291439
BaseRepresentation
bin10100000011101101111010
3100220010202200
4110003231322
52321224411
6304411030
762456520
oct24035572
910803680
105258106
112a71547
121916a76
131121409
149ac310
156dce56
hex503b7a

5258106 has 48 divisors (see below), whose sum is σ = 13478400. Its totient is φ = 1449504.

The previous prime is 5258089. The next prime is 5258167. The reversal of 5258106 is 6018525.

5258106 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 5258106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2935 + ... + 4373.

It is an arithmetic number, because the mean of its divisors is an integer number (280800).

Almost surely, 25258106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5258106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6739200).

5258106 is an abundant number, since it is smaller than the sum of its proper divisors (8220294).

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

5258106 is a wasteful number, since it uses less digits than its factorization.

5258106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5258106 is about 2293.0560394373. The cubic root of 5258106 is about 173.8907359993.

The spelling of 5258106 in words is "five million, two hundred fifty-eight thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 406 522 609 1218 1439 1827 2878 3654 4317 8634 10073 12951 20146 25902 30219 41731 60438 83462 90657 125193 181314 250386 292117 375579 584234 751158 876351 1752702 2629053 5258106