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5735376 = 243239829
BaseRepresentation
bin10101111000001111010000
3101210101110100
4111320033100
52432013001
6322532400
766515133
oct25701720
911711410
105735376
113268089
121b07100
13125a71a
14a9421a
15784586
hex5783d0

5735376 has 30 divisors (see below), whose sum is σ = 16051490. Its totient is φ = 1911744.

The previous prime is 5735369. The next prime is 5735393. The reversal of 5735376 is 6735375.

It can be written as a sum of positive squares in only one way, i.e., 5645376 + 90000 = 2376^2 + 300^2 .

It is a super-2 number, since 2×57353762 = 65789075722752, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5735376.

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 5 ways as a sum of consecutive naturals, for example, 19771 + ... + 20058.

Almost surely, 25735376 is an apocalyptic number.

It is an amenable number.

5735376 is an abundant number, since it is smaller than the sum of its proper divisors (10316114).

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

5735376 is a wasteful number, since it uses less digits than its factorization.

5735376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39843 (or 39834 counting only the distinct ones).

The product of its digits is 66150, while the sum is 36.

The square root of 5735376 is about 2394.8645055618. The cubic root of 5735376 is about 179.0003849227. Note that the first 3 decimals are identical.

Subtracting 5735376 from its reverse (6735375), we obtain a palindrome (999999).

The spelling of 5735376 in words is "five million, seven hundred thirty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 39829 79658 119487 159316 238974 318632 358461 477948 637264 716922 955896 1433844 1911792 2867688 5735376