Search a number
-
+
4007043744 = 253112344959
BaseRepresentation
bin1110111011010110…
…1010001010100000
3101100020221220122120
43232311222022200
531201300344434
61501340504240
7201204211164
oct35665521240
911306856576
104007043744
111776965300
12939b4b080
134bb219802
142a0268ca4
15186bb7349
hexeed6a2a0

4007043744 has 72 divisors (see below), whose sum is σ = 11561679360. Its totient is φ = 1214252160.

The previous prime is 4007043743. The next prime is 4007043751. The reversal of 4007043744 is 4473407004.

4007043744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4007043743) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160864 + ... + 184095.

It is an arithmetic number, because the mean of its divisors is an integer number (160578880).

Almost surely, 24007043744 is an apocalyptic number.

4007043744 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4007043744 is an abundant number, since it is smaller than the sum of its proper divisors (7554635616).

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

4007043744 is a wasteful number, since it uses less digits than its factorization.

4007043744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344994 (or 344975 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 33.

The square root of 4007043744 is about 63301.2143959340. The cubic root of 4007043744 is about 1588.3322761261.

The spelling of 4007043744 in words is "four billion, seven million, forty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1452 1936 2904 3872 5808 11616 344959 689918 1034877 1379836 2069754 2759672 3794549 4139508 5519344 7589098 8279016 11038688 11383647 15178196 16558032 22767294 30356392 33116064 41740039 45534588 60712784 83480078 91069176 121425568 125220117 166960156 182138352 250440234 333920312 364276704 500880468 667840624 1001760936 1335681248 2003521872 4007043744