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46082372 = 2271924797
BaseRepresentation
bin1010111111001…
…0100101000100
310012201020010112
42233302211010
543244113442
64323412152
71066456640
oct257624504
9105636115
1046082372
1124015406
1213524058
13971619b
146197c20
1540a4082
hex2bf2944

46082372 has 72 divisors (see below), whose sum is σ = 100364544. Its totient is φ = 18123264.

The previous prime is 46082371. The next prime is 46082381. The reversal of 46082372 is 27328064.

46082372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (46082371) 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, 475028 + ... + 475124.

It is an arithmetic number, because the mean of its divisors is an integer number (1393952).

Almost surely, 246082372 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 46082372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50182272).

46082372 is an abundant number, since it is smaller than the sum of its proper divisors (54282172).

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

46082372 is a wasteful number, since it uses less digits than its factorization.

46082372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 46082372 is about 6788.3998114430. The cubic root of 46082372 is about 358.5185311769.

The spelling of 46082372 in words is "forty-six million, eighty-two thousand, three hundred seventy-two".

Divisors: 1 2 4 7 14 19 28 38 47 76 94 97 133 188 194 266 329 361 388 532 658 679 722 893 1316 1358 1444 1786 1843 2527 2716 3572 3686 4559 5054 6251 7372 9118 10108 12502 12901 16967 18236 25004 25802 31913 33934 35017 51604 63826 67868 70034 86621 118769 127652 140068 173242 237538 245119 346484 475076 490238 606347 980476 1212694 1645799 2425388 3291598 6583196 11520593 23041186 46082372