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5978232 = 2333132129
BaseRepresentation
bin10110110011100001111000
3102020201121000
4112303201320
53012300412
6332045000
7101546151
oct26634170
912221530
105978232
113413597
122003760
131314120
14b18928
157d14dc
hex5b3878

5978232 has 64 divisors (see below), whose sum is σ = 17892000. Its totient is φ = 1838592.

The previous prime is 5978227. The next prime is 5978233. The reversal of 5978232 is 2328795.

It is a happy number.

5978232 is digitally balanced in base 4, 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 57 + 94 + 78 + 82 + 212 + 310 + 216 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5978233) 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, 1744 + ... + 3872.

Almost surely, 25978232 is an apocalyptic number.

5978232 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 5978232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8946000).

5978232 is an abundant number, since it is smaller than the sum of its proper divisors (11913768).

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

5978232 is a wasteful number, since it uses less digits than its factorization.

5978232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2147 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 5978232 is about 2445.0423309219. The cubic root of 5978232 is about 181.4920425444.

The spelling of 5978232 in words is "five million, nine hundred seventy-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2129 2808 4258 6387 8516 12774 17032 19161 25548 27677 38322 51096 55354 57483 76644 83031 110708 114966 153288 166062 221416 229932 249093 332124 459864 498186 664248 747279 996372 1494558 1992744 2989116 5978232