Search a number
-
+
5528137248 = 253517193171
BaseRepresentation
bin1010010011000000…
…01010111000100000
3112021021011110200000
411021200022320200
542310200342443
62312315100000
7253664251134
oct51140127040
915237143600
105528137248
112387542377
1210a3441600
136a13b5b3a
143a629d3c4
152254cb8d3
hex14980ae20

5528137248 has 576 divisors, whose sum is σ = 19020718080. Its totient is φ = 1567641600.

The previous prime is 5528137247. The next prime is 5528137253. The reversal of 5528137248 is 8427318255.

5528137248 is a `hidden beast` number, since 5 + 528 + 13 + 72 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (5528137243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77861053 + ... + 77861123.

It is an arithmetic number, because the mean of its divisors is an integer number (33022080).

Almost surely, 25528137248 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 5528137248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9510359040).

5528137248 is an abundant number, since it is smaller than the sum of its proper divisors (13492580832).

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

5528137248 is a wasteful number, since it uses less digits than its factorization.

5528137248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 143 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 5528137248 is about 74351.4441554433. Note that the first 3 decimals coincide. The cubic root of 5528137248 is about 1768.1791789630.

It can be divided in two parts, 55281 and 37248, that added together give a palindrome (92529).

The spelling of 5528137248 in words is "five billion, five hundred twenty-eight million, one hundred thirty-seven thousand, two hundred forty-eight".