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8282898 = 236131923
BaseRepresentation
bin11111100110001100010010
3120120211000000
4133212030102
54110023043
6453310430
7130255251
oct37461422
916524000
108282898
114748078
122935416
131940130
141158798
15ad92d3
hex7e6312

8282898 has 112 divisors (see below), whose sum is σ = 22034880. Its totient is φ = 2309472.

The previous prime is 8282891. The next prime is 8282903. The reversal of 8282898 is 8982828.

8282898 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (8282891) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 360115 + ... + 360137.

It is an arithmetic number, because the mean of its divisors is an integer number (196740).

Almost surely, 28282898 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8282898, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11017440).

8282898 is an abundant number, since it is smaller than the sum of its proper divisors (13751982).

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

8282898 is a wasteful number, since it uses less digits than its factorization.

8282898 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 60 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 8282898 is about 2878.0024322436. The cubic root of 8282898 is about 202.3302280768.

It can be divided in two parts, 8282 and 898, that added together give a triangular number (9180 = T135).

The spelling of 8282898 in words is "eight million, two hundred eighty-two thousand, eight hundred ninety-eight".

Divisors: 1 2 3 6 9 13 18 19 23 26 27 38 39 46 54 57 69 78 81 114 117 138 162 171 207 234 243 247 299 342 351 414 437 486 494 513 598 621 702 729 741 874 897 1026 1053 1242 1311 1458 1482 1539 1794 1863 2106 2223 2622 2691 3078 3159 3726 3933 4446 4617 5382 5589 5681 6318 6669 7866 8073 9234 9477 11178 11362 11799 13338 13851 16146 16767 17043 18954 20007 23598 24219 27702 33534 34086 35397 40014 48438 51129 60021 70794 72657 102258 106191 120042 145314 153387 180063 212382 217971 306774 318573 360126 435942 460161 637146 920322 1380483 2760966 4141449 8282898