Search a number
-
+
49752108 = 223271910391
BaseRepresentation
bin1011110111001…
…0100000101100
310110121200001200
42331302200230
5100214031413
64534205500
71142612610
oct275624054
9113550050
1049752108
11260a154a
12147b3890
13a3cc623
146871340
15457b573
hex2f7282c

49752108 has 72 divisors (see below), whose sum is σ = 151307520. Its totient is φ = 13465440.

The previous prime is 49752103. The next prime is 49752121. The reversal of 49752108 is 80125794.

49752108 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (49752103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 408 + ... + 9983.

Almost surely, 249752108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49752108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75653760).

49752108 is an abundant number, since it is smaller than the sum of its proper divisors (101555412).

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

49752108 is a wasteful number, since it uses less digits than its factorization.

49752108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10427 (or 10422 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 49752108 is about 7053.5174204081. The cubic root of 49752108 is about 367.7933129688.

The spelling of 49752108 in words is "forty-nine million, seven hundred fifty-two thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1197 1596 2394 4788 10391 20782 31173 41564 62346 72737 93519 124692 145474 187038 197429 218211 290948 374076 394858 436422 592287 654633 789716 872844 1184574 1309266 1382003 1776861 2369148 2618532 2764006 3553722 4146009 5528012 7107444 8292018 12438027 16584036 24876054 49752108