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5289700 = 2252132313
BaseRepresentation
bin10100001011011011100100
3100221202002211
4110023123210
52323232300
6305213204
762650603
oct24133344
910852084
105289700
112a93259
121931204
131132900
149b9a3a
156e74ba
hex50b6e4

5289700 has 54 divisors (see below), whose sum is σ = 12469254. Its totient is φ = 1946880.

The previous prime is 5289679. The next prime is 5289721. The reversal of 5289700 is 79825.

It is an interprime number because it is at equal distance from previous prime (5289679) and next prime (5289721).

It can be written as a sum of positive squares in 9 ways, for example, as 4848804 + 440896 = 2202^2 + 664^2 .

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 16744 + ... + 17056.

Almost surely, 25289700 is an apocalyptic number.

5289700 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 5289700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6234627).

5289700 is an abundant number, since it is smaller than the sum of its proper divisors (7179554).

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

5289700 is a wasteful number, since it uses less digits than its factorization.

5289700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 5289700 is about 2299.9347816840. The cubic root of 5289700 is about 174.2383223032.

It can be divided in two parts, 528 and 9700, that multiplied together give a triangular number (5121600 = T3200).

The spelling of 5289700 in words is "five million, two hundred eighty-nine thousand, seven hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 313 325 338 626 650 676 845 1252 1300 1565 1690 3130 3380 4069 4225 6260 7825 8138 8450 15650 16276 16900 20345 31300 40690 52897 81380 101725 105794 203450 211588 264485 406900 528970 1057940 1322425 2644850 5289700