Search a number
-
+
29748132 = 22327731069
BaseRepresentation
bin111000101111…
…0101110100100
32001222100202200
41301132232210
530103420012
62541334500
7510566151
oct161365644
961870680
1029748132
1115879237
129b67430
13621745b
143d45228
1529293dc
hex1c5eba4

29748132 has 36 divisors (see below), whose sum is σ = 75364380. Its totient is φ = 9893952.

The previous prime is 29748119. The next prime is 29748139. The reversal of 29748132 is 23184792.

It can be written as a sum of positive squares in 2 ways, for example, as 6937956 + 22810176 = 2634^2 + 4776^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (29748139) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27294 + ... + 28362.

It is an arithmetic number, because the mean of its divisors is an integer number (2093455).

Almost surely, 229748132 is an apocalyptic number.

It is an amenable number.

29748132 is an abundant number, since it is smaller than the sum of its proper divisors (45616248).

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

29748132 is a wasteful number, since it uses less digits than its factorization.

29748132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852 (or 1847 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 29748132 is about 5454.1848153505. The cubic root of 29748132 is about 309.8512362879.

The spelling of 29748132 in words is "twenty-nine million, seven hundred forty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 773 1069 1546 2138 2319 3092 3207 4276 4638 6414 6957 9276 9621 12828 13914 19242 27828 38484 826337 1652674 2479011 3305348 4958022 7437033 9916044 14874066 29748132