Search a number
-
+
5978616 = 2337191873
BaseRepresentation
bin10110110011100111111000
3102020202010020
4112303213320
53012303431
6332050440
7101550240
oct26634770
912222106
105978616
113413906
122003a20
131314357
14b18b20
157d1696
hex5b39f8

5978616 has 64 divisors (see below), whose sum is σ = 17990400. Its totient is φ = 1617408.

The previous prime is 5978603. The next prime is 5978617. The reversal of 5978616 is 6168795.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5978617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2256 + ... + 4128.

It is an arithmetic number, because the mean of its divisors is an integer number (281100).

Almost surely, 25978616 is an apocalyptic number.

5978616 is a gapful number since it is divisible by the number (56) 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 5978616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8995200).

5978616 is an abundant number, since it is smaller than the sum of its proper divisors (12011784).

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

5978616 is a wasteful number, since it uses less digits than its factorization.

5978616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908 (or 1904 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 5978616 is about 2445.1208559088. The cubic root of 5978616 is about 181.4959283896.

The spelling of 5978616 in words is "five million, nine hundred seventy-eight thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 1873 3192 3746 5619 7492 11238 13111 14984 22476 26222 35587 39333 44952 52444 71174 78666 104888 106761 142348 157332 213522 249109 284696 314664 427044 498218 747327 854088 996436 1494654 1992872 2989308 5978616