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4235868 = 2233713431
BaseRepresentation
bin10000001010001001011100
321222012112000
4100022021130
52041021433
6230442300
751001320
oct20121134
97865460
104235868
11243351a
121503390
13b54040
147c3980
1558a113
hex40a25c

4235868 has 96 divisors (see below), whose sum is σ = 13547520. Its totient is φ = 1114560.

The previous prime is 4235867. The next prime is 4235897. The reversal of 4235868 is 8685324.

4235868 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a d-powerful number, because it can be written as 411 + 213 + 34 + 5 + 83 + 6 + 85 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4235863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9613 + ... + 10043.

It is an arithmetic number, because the mean of its divisors is an integer number (141120).

Almost surely, 24235868 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 4235868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6773760).

4235868 is an abundant number, since it is smaller than the sum of its proper divisors (9311652).

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

4235868 is a wasteful number, since it uses less digits than its factorization.

4235868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 456 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 4235868 is about 2058.1224453370. The cubic root of 4235868 is about 161.8008526813.

The spelling of 4235868 in words is "four million, two hundred thirty-five thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 431 468 546 702 756 819 862 1092 1293 1404 1638 1724 2457 2586 3017 3276 3879 4914 5172 5603 6034 7758 9051 9828 11206 11637 12068 15516 16809 18102 22412 23274 27153 33618 36204 39221 46548 50427 54306 67236 78442 81459 100854 108612 117663 151281 156884 162918 201708 235326 302562 325836 352989 470652 605124 705978 1058967 1411956 2117934 4235868