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132443948 = 2271332153
BaseRepresentation
bin1111110010011…
…10111100101100
3100020012211221102
413321032330230
5232401201243
621050422232
73165516650
oct771167454
9306184842
10132443948
116884110a
1238431978
1321593000
1413838a60
15b9629b8
hex7e4ef2c

132443948 has 48 divisors (see below), whose sum is σ = 287085120. Its totient is φ = 52371072.

The previous prime is 132443947. The next prime is 132443951. The reversal of 132443948 is 849344231.

132443948 is digitally balanced in base 3, 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 (132443947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60440 + ... + 62592.

It is an arithmetic number, because the mean of its divisors is an integer number (5980940).

Almost surely, 2132443948 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 132443948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143542560).

132443948 is an abundant number, since it is smaller than the sum of its proper divisors (154641172).

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

132443948 is a wasteful number, since it uses less digits than its factorization.

132443948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203 (or 2175 counting only the distinct ones).

The product of its digits is 82944, while the sum is 38.

The square root of 132443948 is about 11508.4294323769. The cubic root of 132443948 is about 509.7345125963.

The spelling of 132443948 in words is "one hundred thirty-two million, four hundred forty-three thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 91 169 182 338 364 676 1183 2153 2197 2366 4306 4394 4732 8612 8788 15071 15379 27989 30142 30758 55978 60284 61516 111956 195923 363857 391846 727714 783692 1455428 2546999 4730141 5093998 9460282 10187996 18920564 33110987 66221974 132443948