Search a number
-
+
5859152 = 2413171657
BaseRepresentation
bin10110010110011101010000
3102000200020122
4112112131100
52444443102
6325325412
7100542035
oct26263520
912020218
105859152
113342082
121b66868
1312a1b70
14ac738c
157ab0a2
hex596750

5859152 has 40 divisors (see below), whose sum is σ = 12952296. Its totient is φ = 2543616.

The previous prime is 5859143. The next prime is 5859167. The reversal of 5859152 is 2519585.

It can be written as a sum of positive squares in 4 ways, for example, as 364816 + 5494336 = 604^2 + 2344^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2708 + ... + 4364.

Almost surely, 25859152 is an apocalyptic number.

5859152 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5859152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6476148).

5859152 is an abundant number, since it is smaller than the sum of its proper divisors (7093144).

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

5859152 is a wasteful number, since it uses less digits than its factorization.

5859152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1689 counting only the distinct ones).

The product of its digits is 18000, while the sum is 35.

The square root of 5859152 is about 2420.5685282594. The cubic root of 5859152 is about 180.2789091721.

The spelling of 5859152 in words is "five million, eight hundred fifty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1657 1768 3314 3536 6628 13256 21541 26512 28169 43082 56338 86164 112676 172328 225352 344656 366197 450704 732394 1464788 2929576 5859152