Search a number
-
+
3115283472 = 2432719297179
BaseRepresentation
bin1011100110101111…
…0111010000010000
322001002221210112100
42321223313100100
522340003032342
61233043200400
7140125321050
oct27153672020
98032853470
103115283472
111359550644
1272b376100
133a8549702
14217a55560
15133766e4c
hexb9af7410

3115283472 has 480 divisors, whose sum is σ = 11142144000. Its totient is φ = 792529920.

The previous prime is 3115283459. The next prime is 3115283477. The reversal of 3115283472 is 2743825113.

3115283472 is a `hidden beast` number, since 31 + 1 + 528 + 34 + 72 = 666.

3115283472 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31152834722 = 19409982221832749568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (40320) is a multiple of the sum of its prime divisors (210).

It is not an unprimeable number, because it can be changed into a prime (3115283477) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39433929 + ... + 39434007.

It is an arithmetic number, because the mean of its divisors is an integer number (23212800).

Almost surely, 23115283472 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 3115283472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5571072000).

3115283472 is an abundant number, since it is smaller than the sum of its proper divisors (8026860528).

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

3115283472 is a wasteful number, since it uses less digits than its factorization.

3115283472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 210 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 3115283472 is about 55814.7245088606. The cubic root of 3115283472 is about 1460.4920265725.

The spelling of 3115283472 in words is "three billion, one hundred fifteen million, two hundred eighty-three thousand, four hundred seventy-two".