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5357142 = 2327174161
BaseRepresentation
bin10100011011111001010110
3101002011121200
4110123321112
52332412032
6310453330
763351330
oct24337126
911064550
105357142
11302999a
121964246
13115750b
149d6450
1570c47c
hex51be56

5357142 has 96 divisors (see below), whose sum is σ = 14624064. Its totient is φ = 1382400.

The previous prime is 5357123. The next prime is 5357147. The reversal of 5357142 is 2417535.

It is a happy number.

5357142 is a `hidden beast` number, since 53 + 571 + 42 = 666.

It is a super-3 number, since 3×53571423 (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5357147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87792 + ... + 87852.

It is an arithmetic number, because the mean of its divisors is an integer number (152334).

Almost surely, 25357142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5357142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7312032).

5357142 is an abundant number, since it is smaller than the sum of its proper divisors (9266922).

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

5357142 is a wasteful number, since it uses less digits than its factorization.

5357142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 131 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 5357142 is about 2314.5500642674. The cubic root of 5357142 is about 174.9756918618.

The spelling of 5357142 in words is "five million, three hundred fifty-seven thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 41 42 51 61 63 82 102 119 122 123 126 153 183 238 246 287 306 357 366 369 427 549 574 697 714 738 854 861 1037 1071 1098 1281 1394 1722 2074 2091 2142 2501 2562 2583 3111 3843 4182 4879 5002 5166 6222 6273 7259 7503 7686 9333 9758 12546 14518 14637 15006 17507 18666 21777 22509 29274 35014 42517 43554 43911 45018 52521 65331 85034 87822 105042 127551 130662 157563 255102 297619 315126 382653 595238 765306 892857 1785714 2678571 5357142