Search a number
-
+
2861838 = 233767113
BaseRepresentation
bin1010111010101100001110
312101101201000
422322230032
51213034323
6141201130
733216360
oct12725416
95341630
102861838
111685161
12b601a6
137927c5
14546d30
153b7e43
hex2bab0e

2861838 has 64 divisors (see below), whose sum is σ = 7441920. Its totient is φ = 798336.

The previous prime is 2861809. The next prime is 2861849. The reversal of 2861838 is 8381682.

2861838 is a `hidden beast` number, since 2 + 8 + 618 + 38 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

Its product of digits (18432) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25270 + ... + 25382.

It is an arithmetic number, because the mean of its divisors is an integer number (116280).

22861838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2861838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720960).

2861838 is an abundant number, since it is smaller than the sum of its proper divisors (4580082).

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

2861838 is a wasteful number, since it uses less digits than its factorization.

2861838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 192 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 2861838 is about 1691.6967813411. The cubic root of 2861838 is about 141.9760258409.

The spelling of 2861838 in words is "two million, eight hundred sixty-one thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 67 113 126 134 189 201 226 339 378 402 469 603 678 791 938 1017 1206 1407 1582 1809 2034 2373 2814 3051 3618 4221 4746 6102 7119 7571 8442 12663 14238 15142 21357 22713 25326 42714 45426 52997 68139 105994 136278 158991 204417 317982 408834 476973 953946 1430919 2861838