Search a number
-
+
38963880 = 23325108233
BaseRepresentation
bin1001010010100…
…0101010101000
32201022120101200
42110220222220
534433321010
63511044200
7652121214
oct224505250
981276350
1038963880
111aaa315a
1211070660
1380c3067
145263944
153649cc0
hex2528aa8

38963880 has 48 divisors (see below), whose sum is σ = 126633780. Its totient is φ = 10390272.

The previous prime is 38963879. The next prime is 38963929. The reversal of 38963880 is 8836983.

38963880 is a `hidden beast` number, since 3 + 8 + 9 + 638 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38862756 + 101124 = 6234^2 + 318^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53757 + ... + 54476.

Almost surely, 238963880 is an apocalyptic number.

38963880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38963880 is an abundant number, since it is smaller than the sum of its proper divisors (87669900).

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

38963880 is a wasteful number, since it uses less digits than its factorization.

38963880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108250 (or 108243 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 38963880 is about 6242.1054140410. The cubic root of 38963880 is about 339.0164191802.

It can be divided in two parts, 3896 and 3880, that added together give a 5-th power (7776 = 65).

The spelling of 38963880 in words is "thirty-eight million, nine hundred sixty-three thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 108233 216466 324699 432932 541165 649398 865864 974097 1082330 1298796 1623495 1948194 2164660 2597592 3246990 3896388 4329320 4870485 6493980 7792776 9740970 12987960 19481940 38963880