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8226460 = 2251161613
BaseRepresentation
bin11111011000011010011100
3120110221120201
4133120122130
54101221320
6452153244
7126631564
oct37303234
916427521
108226460
114709730
122908824
131920538
141141da4
15ac770a
hex7d869c

8226460 has 48 divisors (see below), whose sum is σ = 19186272. Its totient is φ = 2937600.

The previous prime is 8226451. The next prime is 8226499. The reversal of 8226460 is 646228.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 13114 + ... + 13726.

It is an arithmetic number, because the mean of its divisors is an integer number (399714).

Almost surely, 28226460 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 8226460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9593136).

8226460 is an abundant number, since it is smaller than the sum of its proper divisors (10959812).

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

8226460 is a wasteful number, since it uses less digits than its factorization.

8226460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 8226460 is about 2868.1806079813. The cubic root of 8226460 is about 201.8696345387.

The spelling of 8226460 in words is "eight million, two hundred twenty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 220 244 305 610 613 671 1220 1226 1342 2452 2684 3065 3355 6130 6710 6743 12260 13420 13486 26972 33715 37393 67430 74786 134860 149572 186965 373930 411323 747860 822646 1645292 2056615 4113230 8226460