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4540305312 = 25361911019
BaseRepresentation
bin1000011101001111…
…11000111110100000
3102201102101102000000
410032213320332200
533244304232222
62030310300000
7220340646504
oct41647707640
912642342000
104540305312
111a1a97a644
12a68657600
135748492ba
14310ddc304
151b89009ac
hex10e9f8fa0

4540305312 has 168 divisors, whose sum is σ = 13485346560. Its totient is φ = 1504033920.

The previous prime is 4540305251. The next prime is 4540305347. The reversal of 4540305312 is 2135030454.

4540305312 is a `hidden beast` number, since 4 + 5 + 40 + 305 + 312 = 666.

It is a super-2 number, since 2×45403053122 = 41228744652350834688, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4455139 + ... + 4456157.

It is an arithmetic number, because the mean of its divisors is an integer number (80269920).

Almost surely, 24540305312 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 4540305312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6742673280).

4540305312 is an abundant number, since it is smaller than the sum of its proper divisors (8945041248).

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

4540305312 is a wasteful number, since it uses less digits than its factorization.

4540305312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 4540305312 is about 67381.7876877721. The cubic root of 4540305312 is about 1655.8780628552.

Adding to 4540305312 its reverse (2135030454), we get a palindrome (6675335766).

The spelling of 4540305312 in words is "four billion, five hundred forty million, three hundred five thousand, three hundred twelve".