Search a number
-
+
48382074 = 232131991039
BaseRepresentation
bin1011100010010…
…0000001111010
310101001001201200
42320210001322
544341211244
64444555030
71125145416
oct270440172
9111031650
1048382074
1125346194
1214252a76
13a03cb60
1465d5d46
1543aa669
hex2e2407a

48382074 has 48 divisors (see below), whose sum is σ = 113568000. Its totient is φ = 14797728.

The previous prime is 48382073. The next prime is 48382109. The reversal of 48382074 is 47028384.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (48382073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46047 + ... + 47085.

It is an arithmetic number, because the mean of its divisors is an integer number (2366000).

Almost surely, 248382074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48382074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56784000).

48382074 is an abundant number, since it is smaller than the sum of its proper divisors (65185926).

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

48382074 is a wasteful number, since it uses less digits than its factorization.

48382074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 48382074 is about 6955.7223923903. The cubic root of 48382074 is about 364.3858415160.

The spelling of 48382074 in words is "forty-eight million, three hundred eighty-two thousand, seventy-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 199 234 398 597 1039 1194 1791 2078 2587 3117 3582 5174 6234 7761 9351 13507 15522 18702 23283 27014 40521 46566 81042 121563 206761 243126 413522 620283 1240566 1860849 2687893 3721698 5375786 8063679 16127358 24191037 48382074