Search a number
-
+
48048714 = 234726053
BaseRepresentation
bin1011011101001…
…0101001001010
310100102010110000
42313102221022
544300024324
64433503430
71122256500
oct267225112
9110363400
1048048714
112513878a
1214111b76
139c541bc
14654a670
1543419c9
hex2dd2a4a

48048714 has 60 divisors (see below), whose sum is σ = 125263314. Its totient is φ = 13725936.

The previous prime is 48048703. The next prime is 48048727. The reversal of 48048714 is 41784084.

It is a happy number.

48048714 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 47155689 + 893025 = 6867^2 + 945^2 .

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 4912 + ... + 10964.

Almost surely, 248048714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48048714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62631657).

48048714 is an abundant number, since it is smaller than the sum of its proper divisors (77214600).

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

48048714 is a wasteful number, since it uses less digits than its factorization.

48048714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6081 (or 6065 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 48048714 is about 6931.7179688732. The cubic root of 48048714 is about 363.5470203499.

It can be divided in two parts, 480 and 48714, that added together give a palindrome (49194).

The spelling of 48048714 in words is "forty-eight million, forty-eight thousand, seven hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1323 2646 3969 6053 7938 12106 18159 36318 42371 54477 84742 108954 127113 163431 254226 296597 326862 381339 490293 593194 762678 889791 980586 1144017 1779582 2288034 2669373 3432051 5338746 6864102 8008119 16016238 24024357 48048714