Search a number
-
+
938096080 = 245101116101
BaseRepresentation
bin110111111010100…
…011010111010000
32102101012012220021
4313322203113100
53410123033310
6233030353224
732150453665
oct6772432720
92371165807
10938096080
11441592519
122221bb814
1311c47474c
148c835a6c
15575545da
hex37ea35d0

938096080 has 40 divisors (see below), whose sum is σ = 2202687144. Its totient is φ = 371520000.

The previous prime is 938096069. The next prime is 938096099. The reversal of 938096080 is 80690839.

It can be written as a sum of positive squares in 4 ways, for example, as 72795024 + 865301056 = 8532^2 + 29416^2 .

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

It is a super-2 number, since 2×9380960802 = 1760048510622732800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49971 + ... + 66130.

Almost surely, 2938096080 is an apocalyptic number.

It is an amenable number.

938096080 is an abundant number, since it is smaller than the sum of its proper divisors (1264591064).

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

938096080 is a wasteful number, since it uses less digits than its factorization.

938096080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116215 (or 116209 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The square root of 938096080 is about 30628.3541836645. The cubic root of 938096080 is about 978.9242951723.

The spelling of 938096080 in words is "nine hundred thirty-eight million, ninety-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 116101 232202 464404 580505 928808 1161010 1857616 2322020 4644040 9288080 11726201 23452402 46904804 58631005 93809608 117262010 187619216 234524020 469048040 938096080