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5535400 = 2352132129
BaseRepresentation
bin10101000111011010101000
3101102020010211
4111013122220
52404113100
6314350504
765023123
oct25073250
911366124
105535400
113140912
121a2b434
1311ba6b0
14a413ba
157451ba
hex5476a8

5535400 has 48 divisors (see below), whose sum is σ = 13866300. Its totient is φ = 2042880.

The previous prime is 5535389. The next prime is 5535401. The reversal of 5535400 is 45355.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 544644 + 4990756 = 738^2 + 2234^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5535401) 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 11 ways as a sum of consecutive naturals, for example, 1536 + ... + 3664.

Almost surely, 25535400 is an apocalyptic number.

5535400 is a gapful number since it is divisible by the number (50) 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 5535400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6933150).

5535400 is an abundant number, since it is smaller than the sum of its proper divisors (8330900).

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

5535400 is a wasteful number, since it uses less digits than its factorization.

5535400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 22.

The square root of 5535400 is about 2352.7430798963. The cubic root of 5535400 is about 176.8953172481.

The spelling of 5535400 in words is "five million, five hundred thirty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2129 2600 4258 8516 10645 17032 21290 27677 42580 53225 55354 85160 106450 110708 138385 212900 221416 276770 425800 553540 691925 1107080 1383850 2767700 5535400