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5285957040 = 2432571380677
BaseRepresentation
bin1001110110001000…
…10100110110110000
3111122101110102212200
410323010110312300
541311201111130
62232304223200
7244663615320
oct47304246660
914571412780
105285957040
11227286a841
12103630ab00
13663180840
1438205b280
1520e0de760
hex13b114db0

5285957040 has 240 divisors, whose sum is σ = 21848893248. Its totient is φ = 1115265024.

The previous prime is 5285956981. The next prime is 5285957051. The reversal of 5285957040 is 407595825.

5285957040 is a `hidden beast` number, since 5 + 28 + 59 + 570 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25182 + ... + 105858.

Almost surely, 25285957040 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 5285957040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10924446624).

5285957040 is an abundant number, since it is smaller than the sum of its proper divisors (16562936208).

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

5285957040 is a wasteful number, since it uses less digits than its factorization.

5285957040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80716 (or 80707 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 5285957040 is about 72704.5874756194. The cubic root of 5285957040 is about 1741.9721594216.

The spelling of 5285957040 in words is "five billion, two hundred eighty-five million, nine hundred fifty-seven thousand, forty".