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5435300 = 22521337113
BaseRepresentation
bin10100101110111110100100
3101020010211102
4110232332210
52342412200
6312255232
764125233
oct24567644
911203742
105435300
113082692
1219a1518
131183c70
14a16b1a
157256d5
hex52efa4

5435300 has 72 divisors (see below), whose sum is σ = 13160616. Its totient is φ = 1935360.

The previous prime is 5435299. The next prime is 5435303. The reversal of 5435300 is 35345.

It can be written as a sum of positive squares in 12 ways, for example, as 2951524 + 2483776 = 1718^2 + 1576^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (5435303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48044 + ... + 48156.

Almost surely, 25435300 is an apocalyptic number.

5435300 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 5435300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6580308).

5435300 is an abundant number, since it is smaller than the sum of its proper divisors (7725316).

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

5435300 is a wasteful number, since it uses less digits than its factorization.

5435300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 5435300 is about 2331.3729860321. The cubic root of 5435300 is about 175.8225225391.

The spelling of 5435300 in words is "five million, four hundred thirty-five thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 37 50 52 65 74 100 113 130 148 185 226 260 325 370 452 481 565 650 740 925 962 1130 1300 1469 1850 1924 2260 2405 2825 2938 3700 4181 4810 5650 5876 7345 8362 9620 11300 12025 14690 16724 20905 24050 29380 36725 41810 48100 54353 73450 83620 104525 108706 146900 209050 217412 271765 418100 543530 1087060 1358825 2717650 5435300