Search a number
-
+
5885256000 = 263531321451
BaseRepresentation
bin1010111101100100…
…11110000101000000
3120012011010222111110
411132302132011000
544023111143000
62411553243320
7265561564521
oct53662360500
916164128443
105885256000
112550089a38
121182b63540
1372a392300
143db8a0848
15246a1e850
hex15ec9e140

5885256000 has 336 divisors, whose sum is σ = 21057461568. Its totient is φ = 1447680000.

The previous prime is 5885255963. The next prime is 5885256007. The reversal of 5885256000 is 6525885.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 5885256000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5885256007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4055275 + ... + 4056725.

Almost surely, 25885256000 is an apocalyptic number.

5885256000 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 5885256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10528730784).

5885256000 is an abundant number, since it is smaller than the sum of its proper divisors (15172205568).

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

5885256000 is a wasteful number, since it uses less digits than its factorization.

5885256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 39.

The square root of 5885256000 is about 76715.4221783339. The cubic root of 5885256000 is about 1805.4624188995.

The spelling of 5885256000 in words is "five billion, eight hundred eighty-five million, two hundred fifty-six thousand".