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5407272 = 23321353109
BaseRepresentation
bin10100101000001000101000
3101011201101100
4110220020220
52341013042
6311521400
763650433
oct24501050
911151340
105407272
113063622
121989260
131174290
14a0a81a
1571c24c
hex528228

5407272 has 96 divisors (see below), whose sum is σ = 16216200. Its totient is φ = 1617408.

The previous prime is 5407271. The next prime is 5407319. The reversal of 5407272 is 2727045.

5407272 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4691556 + 715716 = 2166^2 + 846^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5407271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49554 + ... + 49662.

Almost surely, 25407272 is an apocalyptic number.

5407272 is a gapful number since it is divisible by the number (52) 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 5407272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8108100).

5407272 is an abundant number, since it is smaller than the sum of its proper divisors (10808928).

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

5407272 is a wasteful number, since it uses less digits than its factorization.

5407272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 5407272 is about 2325.3541665733. The cubic root of 5407272 is about 175.5197825120.

The spelling of 5407272 in words is "five million, four hundred seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 53 72 78 104 106 109 117 156 159 212 218 234 312 318 327 424 436 468 477 636 654 689 872 936 954 981 1272 1308 1378 1417 1908 1962 2067 2616 2756 2834 3816 3924 4134 4251 5512 5668 5777 6201 7848 8268 8502 11336 11554 12402 12753 16536 17004 17331 23108 24804 25506 34008 34662 46216 49608 51012 51993 69324 75101 102024 103986 138648 150202 207972 225303 300404 415944 450606 600808 675909 901212 1351818 1802424 2703636 5407272