Search a number
-
+
5840648 = 2311312141
BaseRepresentation
bin10110010001111100001000
3101222201212022
4112101330020
52443400043
6325104012
7100434062
oct26217410
911881768
105840648
11332a190
121b58008
131296608
14ac0732
157a5868
hex591f08

5840648 has 32 divisors (see below), whose sum is σ = 12337920. Its totient is φ = 2568000.

The previous prime is 5840633. The next prime is 5840663. The reversal of 5840648 is 8460485.

It is an interprime number because it is at equal distance from previous prime (5840633) and next prime (5840663).

It is a super-3 number, since 3×58406483 (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1658 + ... + 3798.

It is an arithmetic number, because the mean of its divisors is an integer number (385560).

Almost surely, 25840648 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 5840648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6168960).

5840648 is an abundant number, since it is smaller than the sum of its proper divisors (6497272).

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

5840648 is a wasteful number, since it uses less digits than its factorization.

5840648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 5840648 is about 2416.7432631539. The cubic root of 5840648 is about 180.0889272525.

The spelling of 5840648 in words is "five million, eight hundred forty thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 682 1364 2141 2728 4282 8564 17128 23551 47102 66371 94204 132742 188408 265484 530968 730081 1460162 2920324 5840648