Search a number
-
+
5332852000 = 25537283673
BaseRepresentation
bin1001111011101110…
…01101110100100000
3111202122200221200001
410331313031310200
541410202231000
62241101305344
7246103331320
oct47567156440
914678627601
105332852000
11229728a703
121049b65254
1366cabc838
14388387280
152132a446a
hex13ddcdd20

5332852000 has 192 divisors, whose sum is σ = 15049891584. Its totient is φ = 1819238400.

The previous prime is 5332851989. The next prime is 5332852027. The reversal of 5332852000 is 2582335.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 5332852000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7923664 + ... + 7924336.

It is an arithmetic number, because the mean of its divisors is an integer number (78384852).

Almost surely, 25332852000 is an apocalyptic number.

5332852000 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 5332852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7524945792).

5332852000 is an abundant number, since it is smaller than the sum of its proper divisors (9717039584).

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

5332852000 is a wasteful number, since it uses less digits than its factorization.

5332852000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 5332852000 is about 73026.3787956106. The cubic root of 5332852000 is about 1747.1083674667.

The spelling of 5332852000 in words is "five billion, three hundred thirty-two million, eight hundred fifty-two thousand".