Search a number
-
+
38830560 = 253580897
BaseRepresentation
bin1001010000100…
…0000111100000
32201001210111220
42110020013200
534420034220
63504135040
7651024426
oct224100740
981053456
1038830560
111aa11a7a
1211007480
138077482
14522b116
153620540
hex25081e0

38830560 has 48 divisors (see below), whose sum is σ = 122317776. Its totient is φ = 10354688.

The previous prime is 38830559. The next prime is 38830573. The reversal of 38830560 is 6503883.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39969 + ... + 40928.

It is an arithmetic number, because the mean of its divisors is an integer number (2548287).

Almost surely, 238830560 is an apocalyptic number.

38830560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38830560 is an abundant number, since it is smaller than the sum of its proper divisors (83487216).

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

38830560 is a wasteful number, since it uses less digits than its factorization.

38830560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80915 (or 80907 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 38830560 is about 6231.4171742871. The cubic root of 38830560 is about 338.6293143613.

The spelling of 38830560 in words is "thirty-eight million, eight hundred thirty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 80897 161794 242691 323588 404485 485382 647176 808970 970764 1213455 1294352 1617940 1941528 2426910 2588704 3235880 3883056 4853820 6471760 7766112 9707640 12943520 19415280 38830560