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557442 = 2353137
BaseRepresentation
bin10001000000110000010
31001022200000
42020012002
5120314232
615540430
74511124
oct2100602
91038600
10557442
113508a6
1222a716
13166962
14107214
15b027c
hex88182

557442 has 48 divisors (see below), whose sum is σ = 1327872. Its totient is φ = 174960.

The previous prime is 557423. The next prime is 557443. The reversal of 557442 is 244755.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557443) by changing a digit.

557442 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15048 + ... + 15084.

It is an arithmetic number, because the mean of its divisors is an integer number (27664).

2557442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663936).

557442 is an abundant number, since it is smaller than the sum of its proper divisors (770430).

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

557442 is a wasteful number, since it uses less digits than its factorization.

557442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 73 counting only the distinct ones).

The product of its digits is 5600, while the sum is 27.

The square root of 557442 is about 746.6203854704. The cubic root of 557442 is about 82.3000114666.

It can be divided in two parts, 557 and 442, that added together give a palindrome (999).

The spelling of 557442 in words is "five hundred fifty-seven thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 37 54 62 74 81 93 111 162 186 222 243 279 333 486 558 666 837 999 1147 1674 1998 2294 2511 2997 3441 5022 5994 6882 7533 8991 10323 15066 17982 20646 30969 61938 92907 185814 278721 557442