Search a number
-
+
3255501249 = 3272112132192
BaseRepresentation
bin1100001000001011…
…0000000111000001
322101212210121011100
43002002300013001
523131402014444
61255012405013
7143450206200
oct30202600701
98355717140
103255501249
111420711300
1276a316769
133cb601c00
1422c515237
15140c12e69
hexc20b01c1

3255501249 has 243 divisors, whose sum is σ = 6871410819. Its totient is φ = 1478917440.

The previous prime is 3255501247. The next prime is 3255501251. The reversal of 3255501249 is 9421055523.

It is a happy number.

The square root of 3255501249 is 57057.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (3255501247) and next prime (3255501251).

It can be written as a sum of positive squares in only one way, i.e., 481583025 + 2773918224 = 21945^2 + 52668^2 .

It is not a de Polignac number, because 3255501249 - 21 = 3255501247 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3255501247) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 171342162 + ... + 171342180.

Almost surely, 23255501249 is an apocalyptic number.

3255501249 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

3255501249 is the 57057-th square number.

3255501249 is the 28529-th centered octagonal number.

It is an amenable number.

3255501249 is an abundant number, since it is smaller than the sum of its proper divisors (3615909570).

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

3255501249 is a wasteful number, since it uses less digits than its factorization.

3255501249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The cubic root of 3255501249 is about 1482.0833286479.

Multiplying 3255501249 by its sum of digits (36), we get a square (117198044964 = 3423422).

The spelling of 3255501249 in words is "three billion, two hundred fifty-five million, five hundred one thousand, two hundred forty-nine".