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132048288 = 2532458501
BaseRepresentation
bin1111101111011…
…10010110100000
3100012110202012100
413313232112200
5232301021123
621034130400
73162251301
oct767562640
9305422170
10132048288
11685a0919
1238280a00
1321484ba8
14137747a8
15b8d5643
hex7dee5a0

132048288 has 36 divisors (see below), whose sum is σ = 375513138. Its totient is φ = 44016000.

The previous prime is 132048277. The next prime is 132048289. The reversal of 132048288 is 882840231.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 78641424 + 53406864 = 8868^2 + 7308^2 .

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 (132048289) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 228963 + ... + 229538.

Almost surely, 2132048288 is an apocalyptic number.

132048288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132048288 is an abundant number, since it is smaller than the sum of its proper divisors (243464850).

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

132048288 is a wasteful number, since it uses less digits than its factorization.

132048288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458517 (or 458506 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 132048288 is about 11491.2265663853. The cubic root of 132048288 is about 509.2264165873.

The spelling of 132048288 in words is "one hundred thirty-two million, forty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 458501 917002 1375503 1834004 2751006 3668008 4126509 5502012 7336016 8253018 11004024 14672032 16506036 22008048 33012072 44016096 66024144 132048288