Search a number
-
+
8622628 = 2272293741
BaseRepresentation
bin100000111001…
…001000100100
3121020002000121
4200321020210
54201411003
6504451324
7133201600
oct40711044
917202017
108622628
11495a343
122a79b44
131a2b961
141206500
15b54cbd
hex839224

8622628 has 72 divisors (see below), whose sum is σ = 19104120. Its totient is φ = 3386880.

The previous prime is 8622611. The next prime is 8622683. The reversal of 8622628 is 8262268.

It can be written as a sum of positive squares in 4 ways, for example, as 1016064 + 7606564 = 1008^2 + 2758^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8622593 and 8622602.

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, 210288 + ... + 210328.

It is an arithmetic number, because the mean of its divisors is an integer number (265335).

Almost surely, 28622628 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 8622628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9552060).

8622628 is an abundant number, since it is smaller than the sum of its proper divisors (10481492).

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

8622628 is a wasteful number, since it uses less digits than its factorization.

8622628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 116 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The square root of 8622628 is about 2936.4311672505. The cubic root of 8622628 is about 205.0594949269.

The spelling of 8622628 in words is "eight million, six hundred twenty-two thousand, six hundred twenty-eight".

Divisors: 1 2 4 7 14 28 29 37 41 49 58 74 82 98 116 148 164 196 203 259 287 406 518 574 812 1036 1073 1148 1189 1421 1517 1813 2009 2146 2378 2842 3034 3626 4018 4292 4756 5684 6068 7252 7511 8036 8323 10619 15022 16646 21238 30044 33292 42476 43993 52577 58261 74333 87986 105154 116522 148666 175972 210308 233044 297332 307951 615902 1231804 2155657 4311314 8622628