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5395764 = 2231141997
BaseRepresentation
bin10100100101010100110100
3101011010121010
4110211110310
52340131024
6311352220
763602043
oct24452464
911133533
105395764
113055a10
121982670
13116bc7a
14a0655a
15718b29
hex525534

5395764 has 48 divisors (see below), whose sum is σ = 14083776. Its totient is φ = 1593600.

The previous prime is 5395763. The next prime is 5395801. The reversal of 5395764 is 4675935.

5395764 = T321 + T322 + ... + T402.

5395764 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×53957642 = 58228538287392, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5395763) 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, 4914 + ... + 5910.

It is an arithmetic number, because the mean of its divisors is an integer number (293412).

Almost surely, 25395764 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 5395764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7041888).

5395764 is an abundant number, since it is smaller than the sum of its proper divisors (8688012).

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

5395764 is a wasteful number, since it uses less digits than its factorization.

5395764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1054 counting only the distinct ones).

The product of its digits is 113400, while the sum is 39.

The square root of 5395764 is about 2322.8783868296. The cubic root of 5395764 is about 175.3951777028.

The spelling of 5395764 in words is "five million, three hundred ninety-five thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 902 997 1353 1804 1994 2706 2991 3988 5412 5982 10967 11964 21934 32901 40877 43868 65802 81754 122631 131604 163508 245262 449647 490524 899294 1348941 1798588 2697882 5395764