Search a number
-
+
38139984 = 243429429
BaseRepresentation
bin1001000101111…
…1100001010000
32122202201020000
42101133201100
534230434414
63441250000
7642120201
oct221374120
978681200
1038139984
111a590153
1210933900
137b9504c
1450cb5a8
153535b09
hex245f850

38139984 has 50 divisors (see below), whose sum is σ = 110391930. Its totient is φ = 12712896.

The previous prime is 38139979. The next prime is 38140009. The reversal of 38139984 is 48993183.

It can be written as a sum of positive squares in only one way, i.e., 37454400 + 685584 = 6120^2 + 828^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 13419 + ... + 16010.

Almost surely, 238139984 is an apocalyptic number.

It is an amenable number.

38139984 is an abundant number, since it is smaller than the sum of its proper divisors (72251946).

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

38139984 is a wasteful number, since it uses less digits than its factorization.

38139984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29449 (or 29434 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 38139984 is about 6175.7577672703. The cubic root of 38139984 is about 336.6098617794.

The spelling of 38139984 in words is "thirty-eight million, one hundred thirty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 29429 58858 88287 117716 176574 235432 264861 353148 470864 529722 706296 794583 1059444 1412592 1589166 2118888 2383749 3178332 4237776 4767498 6356664 9534996 12713328 19069992 38139984