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5782535040 = 2735172941149
BaseRepresentation
bin1010110001010101…
…00111101110000000
3112220222212012211110
411120222213232000
543320312110130
62353443443320
7263203510512
oct53052475600
915828765743
105782535040
1124a80aa187
121154686540
13712008189
143cbda1bb2
1523c9cdab0
hex158aa7b80

5782535040 has 512 divisors, whose sum is σ = 20820240000. Its totient is φ = 1357905920.

The previous prime is 5782535039. The next prime is 5782535093. The reversal of 5782535040 is 405352875.

It is a super-2 number, since 2×57825350402 = 66875422977655603200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5782535040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38808886 + ... + 38809034.

Almost surely, 25782535040 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 5782535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10410120000).

5782535040 is an abundant number, since it is smaller than the sum of its proper divisors (15037704960).

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

5782535040 is a wasteful number, since it uses less digits than its factorization.

5782535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 39.

The square root of 5782535040 is about 76042.9815301846. The cubic root of 5782535040 is about 1794.8965565008.

The spelling of 5782535040 in words is "five billion, seven hundred eighty-two million, five hundred thirty-five thousand, forty".