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4005244369 = 7290412
BaseRepresentation
bin1110111010111011…
…0010110111010001
3101100010120111101001
43232232302313101
531200320304434
61501234142001
7201153005200
oct35656626721
911303514331
104005244369
111775946415
12939421901
134baa397a9
1429dd1b237
1518695e114
hexeebb2dd1

4005244369 has 9 divisors (see below), whose sum is σ = 4659677211. Its totient is φ = 3432686880.

The previous prime is 4005244337. The next prime is 4005244391. The reversal of 4005244369 is 9634425004.

It is a happy number.

The square root of 4005244369 is 63287.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3976941969 + 28302400 = 63063^2 + 5320^2 .

It is not a de Polignac number, because 4005244369 - 25 = 4005244337 is a prime.

It is a super-2 number, since 2×40052443692 = 32083964910812416322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4005247369) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 438489 + ... + 447529.

Almost surely, 24005244369 is an apocalyptic number.

4005244369 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4005244369 is the 63287-th square number.

4005244369 is the 31644-th centered octagonal number.

It is an amenable number.

4005244369 is a deficient number, since it is larger than the sum of its proper divisors (654432842).

4005244369 is an frugal number, since it uses more digits than its factorization.

4005244369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18096 (or 9048 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The cubic root of 4005244369 is about 1588.0944920741.

The spelling of 4005244369 in words is "four billion, five million, two hundred forty-four thousand, three hundred sixty-nine".

Divisors: 1 7 49 9041 63287 443009 81739681 572177767 4005244369