Search a number
-
+
38766640 = 2451144053
BaseRepresentation
bin1001001111100…
…0100000110000
32200221112211111
42103320200300
534411013030
63502523104
7650340163
oct223704060
980845744
1038766640
111a978a50
1210b96494
138054353
145211ada
15360b62a
hex24f8830

38766640 has 40 divisors (see below), whose sum is σ = 98328528. Its totient is φ = 14096640.

The previous prime is 38766619. The next prime is 38766641. The reversal of 38766640 is 4666783.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 38766593 and 38766602.

It is not an unprimeable number, because it can be changed into a prime (38766641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21147 + ... + 22906.

Almost surely, 238766640 is an apocalyptic number.

It is an amenable number.

38766640 is an abundant number, since it is smaller than the sum of its proper divisors (59561888).

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

38766640 is a wasteful number, since it uses less digits than its factorization.

38766640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44077 (or 44071 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 38766640 is about 6226.2862125026. The cubic root of 38766640 is about 338.4434034572.

The spelling of 38766640 in words is "thirty-eight million, seven hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 44053 88106 176212 220265 352424 440530 484583 704848 881060 969166 1762120 1938332 2422915 3524240 3876664 4845830 7753328 9691660 19383320 38766640