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5395432 = 237235971
BaseRepresentation
bin10100100101001111101000
3101011010010211
4110211033220
52340123212
6311350504
763601060
oct24451750
911133124
105395432
113055739
121982434
13116ba83
14a063a0
157189a7
hex5253e8

5395432 has 64 divisors (see below), whose sum is σ = 12441600. Its totient is φ = 2143680.

The previous prime is 5395427. The next prime is 5395433. The reversal of 5395432 is 2345935.

It is a super-2 number, since 2×53954322 = 58221372933248, which contains 22 as substring.

Its product of digits (16200) is a multiple of the sum of its prime divisors (162).

It is a junction number, because it is equal to n+sod(n) for n = 5395394 and 5395403.

It is not an unprimeable number, because it can be changed into a prime (5395433) 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, 75957 + ... + 76027.

It is an arithmetic number, because the mean of its divisors is an integer number (194400).

Almost surely, 25395432 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 5395432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6220800).

5395432 is an abundant number, since it is smaller than the sum of its proper divisors (7046168).

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

5395432 is a wasteful number, since it uses less digits than its factorization.

5395432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 162 counting only the distinct ones).

The product of its digits is 16200, while the sum is 31.

The square root of 5395432 is about 2322.8069226692. The cubic root of 5395432 is about 175.3915802886.

The spelling of 5395432 in words is "five million, three hundred ninety-five thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 23 28 46 56 59 71 92 118 142 161 184 236 284 322 413 472 497 568 644 826 994 1288 1357 1633 1652 1988 2714 3266 3304 3976 4189 5428 6532 8378 9499 10856 11431 13064 16756 18998 22862 29323 33512 37996 45724 58646 75992 91448 96347 117292 192694 234584 385388 674429 770776 1348858 2697716 5395432