Search a number
-
+
132850496 = 2641197257
BaseRepresentation
bin1111110101100…
…10001101000000
3100020222111121202
413322302031000
5233002203441
621103240332
73202132142
oct772621500
9306874552
10132850496
1168a995a9
12385a90a8
13216a607c
1413902c92
15b9e319b
hex7eb2340

132850496 has 56 divisors (see below), whose sum is σ = 272482056. Its totient is φ = 64225280.

The previous prime is 132850493. The next prime is 132850499. The reversal of 132850496 is 694058231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132850493) and next prime (132850499).

It can be written as a sum of positive squares in 4 ways, for example, as 63361600 + 69488896 = 7960^2 + 8336^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132850493) 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 7 ways as a sum of consecutive naturals, for example, 516800 + ... + 517056.

It is an arithmetic number, because the mean of its divisors is an integer number (4865751).

Almost surely, 2132850496 is an apocalyptic number.

132850496 is a gapful number since it is divisible by the number (16) 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 132850496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136241028).

132850496 is an abundant number, since it is smaller than the sum of its proper divisors (139631560).

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

132850496 is a wasteful number, since it uses less digits than its factorization.

132850496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 132850496 is about 11526.0789516644. The cubic root of 132850496 is about 510.2555377099.

The spelling of 132850496 in words is "one hundred thirty-two million, eight hundred fifty thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 41 64 82 164 197 257 328 394 514 656 788 1028 1312 1576 2056 2624 3152 4112 6304 8077 8224 10537 12608 16154 16448 21074 32308 42148 50629 64616 84296 101258 129232 168592 202516 258464 337184 405032 516928 674368 810064 1620128 2075789 3240256 4151578 8303156 16606312 33212624 66425248 132850496