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5406752 = 251341317
BaseRepresentation
bin10100101000000000100000
3101011200200002
4110220000200
52341004002
6311515132
763646061
oct24500040
911150602
105406752
11306319a
121988aa8
131173c80
14a0a568
1571c002
hex528020

5406752 has 48 divisors (see below), whose sum is σ = 11779992. Its totient is φ = 2426880.

The previous prime is 5406749. The next prime is 5406757. The reversal of 5406752 is 2576045.

It can be written as a sum of positive squares in 4 ways, for example, as 929296 + 4477456 = 964^2 + 2116^2 .

It is not an unprimeable number, because it can be changed into a prime (5406757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16898 + ... + 17214.

Almost surely, 25406752 is an apocalyptic number.

5406752 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 5406752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5889996).

5406752 is an abundant number, since it is smaller than the sum of its proper divisors (6373240).

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

5406752 is a wasteful number, since it uses less digits than its factorization.

5406752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 5406752 is about 2325.2423529602. The cubic root of 5406752 is about 175.5141559402.

The spelling of 5406752 in words is "five million, four hundred six thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 41 52 82 104 164 208 317 328 416 533 634 656 1066 1268 1312 2132 2536 4121 4264 5072 8242 8528 10144 12997 16484 17056 25994 32968 51988 65936 103976 131872 168961 207952 337922 415904 675844 1351688 2703376 5406752