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5401728 = 2734521
BaseRepresentation
bin10100100110110010000000
3101011102210000
4110212302000
52340323403
6311440000
763625323
oct24466200
911142700
105401728
11305a442
121986000
1311718b7
14a087ba
1571a7a3
hex526c80

5401728 has 80 divisors (see below), whose sum is σ = 16106310. Its totient is φ = 1797120.

The previous prime is 5401727. The next prime is 5401763. The reversal of 5401728 is 8271045.

It can be written as a sum of positive squares in only one way, i.e., 4981824 + 419904 = 2232^2 + 648^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5401727) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10108 + ... + 10628.

Almost surely, 25401728 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 5401728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8053155).

5401728 is an abundant number, since it is smaller than the sum of its proper divisors (10704582).

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

5401728 is an equidigital number, since it uses as much as digits as its factorization.

5401728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 5401728 is about 2324.1617843859. The cubic root of 5401728 is about 175.4597760105.

It can be divided in two parts, 54017 and 28, that added together give a palindrome (54045).

The spelling of 5401728 in words is "five million, four hundred one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 521 576 648 864 1042 1152 1296 1563 1728 2084 2592 3126 3456 4168 4689 5184 6252 8336 9378 10368 12504 14067 16672 18756 25008 28134 33344 37512 42201 50016 56268 66688 75024 84402 100032 112536 150048 168804 200064 225072 300096 337608 450144 600192 675216 900288 1350432 1800576 2700864 5401728