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5711688 = 233331853
BaseRepresentation
bin10101110010011101001000
3101202011222000
4111302131020
52430233223
6322231000
766356103
oct25623510
911664860
105711688
113251304
121ab5460
13124c9c8
14a8973a
1577c543
hex572748

5711688 has 64 divisors (see below), whose sum is σ = 16396800. Its totient is φ = 1840320.

The previous prime is 5711681. The next prime is 5711747. The reversal of 5711688 is 8861175.

5711688 is a `hidden beast` number, since 571 + 1 + 6 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5711681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6270 + ... + 7122.

It is an arithmetic number, because the mean of its divisors is an integer number (256200).

Almost surely, 25711688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5711688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8198400).

5711688 is an abundant number, since it is smaller than the sum of its proper divisors (10685112).

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

5711688 is a wasteful number, since it uses less digits than its factorization.

5711688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 889 counting only the distinct ones).

The product of its digits is 13440, while the sum is 36.

The square root of 5711688 is about 2389.9138059771. The cubic root of 5711688 is about 178.7536116766.

The spelling of 5711688 in words is "five million, seven hundred eleven thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 853 1116 1674 1706 2232 2559 3348 3412 5118 6696 6824 7677 10236 15354 20472 23031 26443 30708 46062 52886 61416 79329 92124 105772 158658 184248 211544 237987 317316 475974 634632 713961 951948 1427922 1903896 2855844 5711688