Search a number
-
+
48105717 = 3111457749
BaseRepresentation
bin1011011110000…
…0100011110101
310100112000122020
42313200203311
544303340332
64435023353
71122614622
oct267404365
9110460566
1048105717
11251775a0
121413ab59
139c7412a
146563349
15435382c
hex2de08f5

48105717 has 8 divisors (see below), whose sum is σ = 69972000. Its totient is φ = 29154960.

The previous prime is 48105703. The next prime is 48105727. The reversal of 48105717 is 71750184.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 48105717 - 26 = 48105653 is a prime.

It is a super-3 number, since 3×481057173 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 1457749 = 48105717 / (4 + 8 + 1 + 0 + 5 + 7 + 1 + 7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48105727) 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, 728842 + ... + 728907.

It is an arithmetic number, because the mean of its divisors is an integer number (8746500).

Almost surely, 248105717 is an apocalyptic number.

It is an amenable number.

48105717 is a deficient number, since it is larger than the sum of its proper divisors (21866283).

48105717 is a wasteful number, since it uses less digits than its factorization.

48105717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457763.

The product of its (nonzero) digits is 7840, while the sum is 33.

The square root of 48105717 is about 6935.8285013400. The cubic root of 48105717 is about 363.6907292334.

The spelling of 48105717 in words is "forty-eight million, one hundred five thousand, seven hundred seventeen".

Divisors: 1 3 11 33 1457749 4373247 16035239 48105717