Search a number
-
+
5755030008 = 23372132231259
BaseRepresentation
bin1010101110000011…
…01100100111111000
3112212002002211000120
411113001230213320
543241241430013
62351022133240
7262420643100
oct52701544770
915762084016
105755030008
112493623252
121147421220
137093c7a00
143c8482200
1523a399123
hex15706c9f8

5755030008 has 288 divisors, whose sum is σ = 18926006400. Its totient is φ = 1450665216.

The previous prime is 5755030007. The next prime is 5755030033. The reversal of 5755030008 is 8000305575.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5755030003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4570483 + ... + 4571741.

It is an arithmetic number, because the mean of its divisors is an integer number (65715300).

Almost surely, 25755030008 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 5755030008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9463003200).

5755030008 is an abundant number, since it is smaller than the sum of its proper divisors (13170976392).

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

5755030008 is a wasteful number, since it uses less digits than its factorization.

5755030008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 33.

The square root of 5755030008 is about 75861.9140807823. The cubic root of 5755030008 is about 1792.0461820780.

The spelling of 5755030008 in words is "five billion, seven hundred fifty-five million, thirty thousand, eight".