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7926228 = 223379929
BaseRepresentation
bin11110001111000111010100
3112220200202000
4132033013110
54012114403
6441515300
7124241352
oct36170724
915820660
107926228
114524102
1227a2b30
13184699b
1410a47d2
15a687a3
hex78f1d4

7926228 has 48 divisors (see below), whose sum is σ = 20832000. Its totient is φ = 2605824.

The previous prime is 7926187. The next prime is 7926229. The reversal of 7926228 is 8226297.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7926192 and 7926201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7926229) by changing a digit.

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, 8068 + ... + 8996.

It is an arithmetic number, because the mean of its divisors is an integer number (434000).

Almost surely, 27926228 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 7926228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10416000).

7926228 is an abundant number, since it is smaller than the sum of its proper divisors (12905772).

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

7926228 is a wasteful number, since it uses less digits than its factorization.

7926228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1013 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 7926228 is about 2815.3557501673. The cubic root of 7926228 is about 199.3833339022.

The spelling of 7926228 in words is "seven million, nine hundred twenty-six thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 108 158 237 316 474 711 929 948 1422 1858 2133 2787 2844 3716 4266 5574 8361 8532 11148 16722 25083 33444 50166 73391 100332 146782 220173 293564 440346 660519 880692 1321038 1981557 2642076 3963114 7926228