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5395400 = 235253509
BaseRepresentation
bin10100100101001111001000
3101011010002122
4110211033020
52340123100
6311350412
763601013
oct24451710
911133078
105395400
11305570a
121982408
13116ba5a
14a0637a
15718985
hex5253c8

5395400 has 48 divisors (see below), whose sum is σ = 12806100. Its totient is φ = 2113280.

The previous prime is 5395399. The next prime is 5395417. The reversal of 5395400 is 45935.

It can be written as a sum of positive squares in 6 ways, for example, as 3452164 + 1943236 = 1858^2 + 1394^2 .

It is a super-2 number, since 2×53954002 = 58220682320000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5395400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10346 + ... + 10854.

Almost surely, 25395400 is an apocalyptic number.

5395400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5395400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6403050).

5395400 is an abundant number, since it is smaller than the sum of its proper divisors (7410700).

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

5395400 is a wasteful number, since it uses less digits than its factorization.

5395400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 5395400 is about 2322.8000344412. The cubic root of 5395400 is about 175.3912335421.

The spelling of 5395400 in words is "five million, three hundred ninety-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 509 530 1018 1060 1325 2036 2120 2545 2650 4072 5090 5300 10180 10600 12725 20360 25450 26977 50900 53954 101800 107908 134885 215816 269770 539540 674425 1079080 1348850 2697700 5395400