Search a number
-
+
133552801 = 2997197241
BaseRepresentation
bin1111111010111…
…01101010100001
3100022022012000001
413331131222201
5233142142201
621130300001
73211115524
oct775355241
9308265001
10133552801
1169429218
1238887601
1321890935
1413a46bbb
15bad1301
hex7f5daa1

133552801 has 16 divisors (see below), whose sum is σ = 140873040. Its totient is φ = 126443520.

The previous prime is 133552759. The next prime is 133552807. The reversal of 133552801 is 108255331.

It can be written as a sum of positive squares in 8 ways, for example, as 24245776 + 109307025 = 4924^2 + 10455^2 .

It is a cyclic number.

It is not a de Polignac number, because 133552801 - 27 = 133552673 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 133552801.

It is not an unprimeable number, because it can be changed into a prime (133552807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 554041 + ... + 554281.

It is an arithmetic number, because the mean of its divisors is an integer number (8804565).

Almost surely, 2133552801 is an apocalyptic number.

It is an amenable number.

133552801 is a deficient number, since it is larger than the sum of its proper divisors (7320239).

133552801 is a wasteful number, since it uses less digits than its factorization.

133552801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564.

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 133552801 is about 11556.5047051433. The cubic root of 133552801 is about 511.1531015159.

The spelling of 133552801 in words is "one hundred thirty-three million, five hundred fifty-two thousand, eight hundred one".

Divisors: 1 29 97 197 241 2813 5713 6989 19109 23377 47477 554161 677933 1376833 4605269 133552801