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3047975424 = 293213174173
BaseRepresentation
bin1011010110101100…
…0110101000000000
321212102022012020200
42311223012220000
522220240203144
61222240405200
7135350235504
oct26553065000
97772265220
103047975424
11132455905a
12710916800
13397611270
1420cb34304
1512c8bdc69
hexb5ac6a00

3047975424 has 480 divisors, whose sum is σ = 10415989584. Its totient is φ = 849346560.

The previous prime is 3047975423. The next prime is 3047975443. The reversal of 3047975424 is 4245797403.

3047975424 is a `hidden beast` number, since 30 + 4 + 79 + 7 + 542 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 674337024 + 2373638400 = 25968^2 + 48720^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3047975424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3047975423) 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 47 ways as a sum of consecutive naturals, for example, 41753052 + ... + 41753124.

Almost surely, 23047975424 is an apocalyptic number.

3047975424 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3047975424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5207994792).

3047975424 is an abundant number, since it is smaller than the sum of its proper divisors (7368014160).

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

3047975424 is a wasteful number, since it uses less digits than its factorization.

3047975424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 3047975424 is about 55208.4723932840. The cubic root of 3047975424 is about 1449.8970079840.

The spelling of 3047975424 in words is "three billion, forty-seven million, nine hundred seventy-five thousand, four hundred twenty-four".