Search a number
-
+
48860742 = 2372198747
BaseRepresentation
bin1011101001100…
…0111001000110
310101221101100010
42322120321012
5100002020432
64503131050
71132211100
oct272307106
9111841303
1048860742
1125642887
1214443a86
13a1799a8
1466bc570
1544523cc
hex2e98e46

48860742 has 48 divisors (see below), whose sum is σ = 119672640. Its totient is φ = 13223952.

The previous prime is 48860741. The next prime is 48860759. The reversal of 48860742 is 24706884.

48860742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 48860742.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48860741) 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, 1213 + ... + 9959.

It is an arithmetic number, because the mean of its divisors is an integer number (2493180).

Almost surely, 248860742 is an apocalyptic number.

48860742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 48860742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59836320).

48860742 is an abundant number, since it is smaller than the sum of its proper divisors (70811898).

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

48860742 is a wasteful number, since it uses less digits than its factorization.

48860742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8785 (or 8778 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 48860742 is about 6990.0459225959. The cubic root of 48860742 is about 365.5835838543.

The spelling of 48860742 in words is "forty-eight million, eight hundred sixty thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 266 294 399 798 931 1862 2793 5586 8747 17494 26241 52482 61229 122458 166193 183687 332386 367374 428603 498579 857206 997158 1163351 1285809 2326702 2571618 3490053 6980106 8143457 16286914 24430371 48860742