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5959268 = 2272941179
BaseRepresentation
bin10110101110111001100100
3102012202120122
4112232321210
53011144033
6331421112
7101436650
oct26567144
912182518
105959268
113400317
121bb4798
1313085c3
14b11a60
157caa98
hex5aee64

5959268 has 48 divisors (see below), whose sum is σ = 12700800. Its totient is φ = 2392320.

The previous prime is 5959259. The next prime is 5959279. The reversal of 5959268 is 8629595.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33203 + ... + 33381.

It is an arithmetic number, because the mean of its divisors is an integer number (264600).

Almost surely, 25959268 is an apocalyptic number.

5959268 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5959268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6350400).

5959268 is an abundant number, since it is smaller than the sum of its proper divisors (6741532).

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

5959268 is a wasteful number, since it uses less digits than its factorization.

5959268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 258 counting only the distinct ones).

The product of its digits is 194400, while the sum is 44.

The square root of 5959268 is about 2441.1611991018. The cubic root of 5959268 is about 181.2999310712.

The spelling of 5959268 in words is "five million, nine hundred fifty-nine thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 28 29 41 58 82 116 164 179 203 287 358 406 574 716 812 1148 1189 1253 2378 2506 4756 5012 5191 7339 8323 10382 14678 16646 20764 29356 33292 36337 51373 72674 102746 145348 205492 212831 425662 851324 1489817 2979634 5959268