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132049792 = 277147377
BaseRepresentation
bin1111101111011…
…10101110000000
3100012110211021001
413313232232000
5232301043132
621034141344
73162255550
oct767565600
9305424231
10132049792
11685a1a66
1238281854
1321485794
1413775160
15b8d5ce7
hex7deeb80

132049792 has 32 divisors (see below), whose sum is σ = 300651120. Its totient is φ = 56592384.

The previous prime is 132049783. The next prime is 132049793. The reversal of 132049792 is 297940231.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×1320497923 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132049793) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72793 + ... + 74584.

Almost surely, 2132049792 is an apocalyptic number.

It is an amenable number.

132049792 is an abundant number, since it is smaller than the sum of its proper divisors (168601328).

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

132049792 is an equidigital number, since it uses as much as digits as its factorization.

132049792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147398 (or 147386 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 132049792 is about 11491.2920074289. The cubic root of 132049792 is about 509.2283499043.

The spelling of 132049792 in words is "one hundred thirty-two million, forty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 147377 294754 589508 1031639 1179016 2063278 2358032 4126556 4716064 8253112 9432128 16506224 18864256 33012448 66024896 132049792