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658242 = 232132997
BaseRepresentation
bin10100000101101000010
31020102221100
42200231002
5132030432
622035230
75411034
oct2405502
91212840
10658242
1140a602
12278b16
131a07c0
14131c54
15d007c
hexa0b42

658242 has 48 divisors (see below), whose sum is σ = 1605240. Its totient is φ = 193536.

The previous prime is 658219. The next prime is 658247. The reversal of 658242 is 242856.

658242 is a `hidden beast` number, since 658 + 2 + 4 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 447561 + 210681 = 669^2 + 459^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (658247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6738 + ... + 6834.

2658242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 658242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802620).

658242 is an abundant number, since it is smaller than the sum of its proper divisors (946998).

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

658242 is a wasteful number, since it uses less digits than its factorization.

658242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 144 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 658242 is about 811.3211448003. The cubic root of 658242 is about 86.9885042282.

It can be divided in two parts, 658 and 242, that added together give a square (900 = 302).

The spelling of 658242 in words is "six hundred fifty-eight thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 97 117 174 194 234 261 291 377 522 582 754 873 1131 1261 1746 2262 2522 2813 3393 3783 5626 6786 7566 8439 11349 16878 22698 25317 36569 50634 73138 109707 219414 329121 658242