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132542752 = 256167901
BaseRepresentation
bin1111110011001…
…11000100100000
3100020101212110211
413321213010200
5232412332002
621052503504
73166411006
oct771470440
9306355424
10132542752
11688a9371
123847ab94
13215c8c84
1413862a76
15b981dd7
hex7e67120

132542752 has 24 divisors (see below), whose sum is σ = 265225212. Its totient is φ = 65184000.

The previous prime is 132542747. The next prime is 132542759. The reversal of 132542752 is 257245231.

It can be written as a sum of positive squares in 2 ways, for example, as 128232976 + 4309776 = 11324^2 + 2076^2 .

It is a super-2 number, since 2×1325427522 = 35135162215467008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132542759) 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 3 ways as a sum of consecutive naturals, for example, 31999 + ... + 35902.

Almost surely, 2132542752 is an apocalyptic number.

It is an amenable number.

132542752 is an abundant number, since it is smaller than the sum of its proper divisors (132682460).

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

132542752 is an equidigital number, since it uses as much as digits as its factorization.

132542752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67972 (or 67964 counting only the distinct ones).

The product of its digits is 16800, while the sum is 31.

The square root of 132542752 is about 11512.7213116622. The cubic root of 132542752 is about 509.8612361167.

Adding to 132542752 its reverse (257245231), we get a palindrome (389787983).

The spelling of 132542752 in words is "one hundred thirty-two million, five hundred forty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 32 61 122 244 488 976 1952 67901 135802 271604 543208 1086416 2172832 4141961 8283922 16567844 33135688 66271376 132542752