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38928132 = 22321081337
BaseRepresentation
bin1001010001111…
…1111100000100
32201020202100200
42110133330010
534431200012
63510210500
7651612045
oct224377404
981222320
1038928132
111aa79311
1211053a30
1380ac9c9
1452548cc
15363e3dc
hex251ff04

38928132 has 18 divisors (see below), whose sum is σ = 98401758. Its totient is φ = 12976032.

The previous prime is 38928103. The next prime is 38928133. The reversal of 38928132 is 23182983.

It is a happy number.

38928132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 37748736 + 1179396 = 6144^2 + 1086^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×389281322 = 3030798922018848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1081337 = 38928132 / (3 + 8 + 9 + 2 + 8 + 1 + 3 + 2).

It is not an unprimeable number, because it can be changed into a prime (38928133) 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 5 ways as a sum of consecutive naturals, for example, 540633 + ... + 540704.

Almost surely, 238928132 is an apocalyptic number.

It is an amenable number.

38928132 is an abundant number, since it is smaller than the sum of its proper divisors (59473626).

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

38928132 is a wasteful number, since it uses less digits than its factorization.

38928132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081347 (or 1081342 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 38928132 is about 6239.2413000300. The cubic root of 38928132 is about 338.9127088794.

It can be divided in two parts, 38928 and 132, that added together give a triangular number (39060 = T279).

The spelling of 38928132 in words is "thirty-eight million, nine hundred twenty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1081337 2162674 3244011 4325348 6488022 9732033 12976044 19464066 38928132