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5375104 = 2772857
BaseRepresentation
bin10100100000010010000000
3101010002020221
4110200102000
52334000404
6311112424
763454600
oct24402200
911102227
105375104
113041439
121972714
131162747
149dcc00
15712954
hex520480

5375104 has 48 divisors (see below), whose sum is σ = 12471030. Its totient is φ = 2300928.

The previous prime is 5375099. The next prime is 5375107. The reversal of 5375104 is 4015735.

It can be written as a sum of positive squares in only one way, i.e., 3415104 + 1960000 = 1848^2 + 1400^2 .

It is not an unprimeable number, because it can be changed into a prime (5375107) 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 5 ways as a sum of consecutive naturals, for example, 5844 + ... + 6700.

Almost surely, 25375104 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 5375104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6235515).

5375104 is an abundant number, since it is smaller than the sum of its proper divisors (7095926).

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

5375104 is an equidigital number, since it uses as much as digits as its factorization.

5375104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 5375104 is about 2318.4270529823. The cubic root of 5375104 is about 175.1710327900.

It can be divided in two parts, 53 and 75104, that added together give a palindrome (75157).

The spelling of 5375104 in words is "five million, three hundred seventy-five thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 857 896 1568 1714 3136 3428 5999 6272 6856 11998 13712 23996 27424 41993 47992 54848 83986 95984 109696 167972 191968 335944 383936 671888 767872 1343776 2687552 5375104