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132048252 = 223371929317
BaseRepresentation
bin1111101111011…
…10010101111100
3100012110202011000
413313232111330
5232301021002
621034130300
73162251220
oct767562574
9305422130
10132048252
11685a0896
1238280990
1321484b7b
1413774780
15b8d561c
hex7dee57c

132048252 has 192 divisors, whose sum is σ = 427392000. Its totient is φ = 34401024.

The previous prime is 132048247. The next prime is 132048253. The reversal of 132048252 is 252840231.

132048252 is a `hidden beast` number, since 132 + 0 + 482 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132048253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 416398 + ... + 416714.

It is an arithmetic number, because the mean of its divisors is an integer number (2226000).

Almost surely, 2132048252 is an apocalyptic number.

132048252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132048252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213696000).

132048252 is an abundant number, since it is smaller than the sum of its proper divisors (295343748).

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

132048252 is a wasteful number, since it uses less digits than its factorization.

132048252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 132048252 is about 11491.2249999728. The cubic root of 132048252 is about 509.2263703109.

Adding to 132048252 its reverse (252840231), we get a palindrome (384888483).

The spelling of 132048252 in words is "one hundred thirty-two million, forty-eight thousand, two hundred fifty-two".