Search a number
-
+
38827920 = 2435161783
BaseRepresentation
bin1001010000011…
…1011110010000
32201001122220010
42110013132100
534414443140
63504114520
7651013635
oct224073620
981048803
1038827920
111aa0aa9a
1211005a40
138076201
14522a18c
15361e880
hex2507790

38827920 has 40 divisors (see below), whose sum is σ = 120367296. Its totient is φ = 10354048.

The previous prime is 38827891. The next prime is 38827927. The reversal of 38827920 is 2972883.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (38827927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80652 + ... + 81131.

Almost surely, 238827920 is an apocalyptic number.

38827920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38827920 is an abundant number, since it is smaller than the sum of its proper divisors (81539376).

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

38827920 is a wasteful number, since it uses less digits than its factorization.

38827920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161799 (or 161793 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 38827920 is about 6231.2053408630. The cubic root of 38827920 is about 338.6216399794.

The spelling of 38827920 in words is "thirty-eight million, eight hundred twenty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 161783 323566 485349 647132 808915 970698 1294264 1617830 1941396 2426745 2588528 3235660 3882792 4853490 6471320 7765584 9706980 12942640 19413960 38827920