Search a number
-
+
5255573120 = 275717151457
BaseRepresentation
bin1001110010100000…
…11010111010000000
3111120021021202222022
410321100122322000
541230411314440
62225301101012
7244144430420
oct47120327200
914507252868
105255573120
1122576a7966
1210280b7768
13659aa2ba5
1437bdcc480
1520b5dbcb5
hex13941ae80

5255573120 has 256 divisors, whose sum is σ = 15337797120. Its totient is φ = 1680998400.

The previous prime is 5255573027. The next prime is 5255573123. The reversal of 5255573120 is 213755525.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (5255573123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11499932 + ... + 11500388.

It is an arithmetic number, because the mean of its divisors is an integer number (59913270).

Almost surely, 25255573120 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 5255573120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7668898560).

5255573120 is an abundant number, since it is smaller than the sum of its proper divisors (10082224000).

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

5255573120 is a wasteful number, since it uses less digits than its factorization.

5255573120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 35.

The square root of 5255573120 is about 72495.3317117730. The cubic root of 5255573120 is about 1738.6280990395.

The spelling of 5255573120 in words is "five billion, two hundred fifty-five million, five hundred seventy-three thousand, one hundred twenty".