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5175466240 = 285721943101
BaseRepresentation
bin1001101000111101…
…10101100100000000
3111100200112220222211
410310132311210000
541044404404430
62213320111504
7242152510600
oct46436654400
914320486884
105175466240
11221646342a
121005305594
13646305c79
143714d8c00
1520456672a
hex1347b5900

5175466240 has 432 divisors, whose sum is σ = 15686637120. Its totient is φ = 1625702400.

The previous prime is 5175466223. The next prime is 5175466243. The reversal of 5175466240 is 426645715.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 5175466193 and 5175466202.

It is not an unprimeable number, because it can be changed into a prime (5175466243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51242190 + ... + 51242290.

It is an arithmetic number, because the mean of its divisors is an integer number (36311660).

Almost surely, 25175466240 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 5175466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7843318560).

5175466240 is an abundant number, since it is smaller than the sum of its proper divisors (10511170880).

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

5175466240 is a wasteful number, since it uses less digits than its factorization.

5175466240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The square root of 5175466240 is about 71940.7133687177. The cubic root of 5175466240 is about 1729.7492859529.

The spelling of 5175466240 in words is "five billion, one hundred seventy-five million, four hundred sixty-six thousand, two hundred forty".