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133610481 = 3238532
BaseRepresentation
bin1111111011010…
…11101111110001
3100022102010010100
413331223233301
5233201013411
621131423013
73211445634
oct775535761
9308363110
10133610481
1169468594
12388b4a69
13218b0c74
1413a5dc1b
15bae3456
hex7f6bbf1

133610481 has 9 divisors (see below), whose sum is σ = 193043019. Its totient is φ = 89050536.

The previous prime is 133610471. The next prime is 133610539. The reversal of 133610481 is 184016331.

The square root of 133610481 is 11559.

It is a perfect power (a square), and thus also a powerful number.

133610481 is a `hidden beast` number, since 1 + 3 + 3 + 610 + 48 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 132365025 + 1245456 = 11505^2 + 1116^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 133610481 - 27 = 133610353 is a prime.

It is a super-2 number, since 2×1336104812 = 35703521266102722, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133610401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32751 + ... + 36603.

Almost surely, 2133610481 is an apocalyptic number.

133610481 is the 11559-th square number.

133610481 is the 5780-th centered octagonal number.

It is an amenable number.

133610481 is a deficient number, since it is larger than the sum of its proper divisors (59432538).

133610481 is an frugal number, since it uses more digits than its factorization.

133610481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7712 (or 3856 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The cubic root of 133610481 is about 511.2266780768.

The spelling of 133610481 in words is "one hundred thirty-three million, six hundred ten thousand, four hundred eighty-one".

Divisors: 1 3 9 3853 11559 34677 14845609 44536827 133610481