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161293249 = 1337973457
BaseRepresentation
bin10011001110100…
…10001111000001
3102020111112202001
421213102033001
5312242340444
624001024001
73665653465
oct1147221701
9366445661
10161293249
1183056007
1246025001
13275542c0
14175c84a5
15e2608d4
hex99d23c1

161293249 has 16 divisors (see below), whose sum is σ = 180286288. Its totient is φ = 143327232.

The previous prime is 161293247. The next prime is 161293291. The reversal of 161293249 is 942392161.

It can be written as a sum of positive squares in 8 ways, for example, as 16524225 + 144769024 = 4065^2 + 12032^2 .

It is a 3-Lehmer number, since φ(161293249) divides (161293249-1)3.

It is a cyclic number.

It is not a de Polignac number, because 161293249 - 21 = 161293247 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (161293241) 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 15 ways as a sum of consecutive naturals, for example, 44929 + ... + 48385.

It is an arithmetic number, because the mean of its divisors is an integer number (11267893).

It is a Poulet number, since it divides 2161293248-1.

Almost surely, 2161293249 is an apocalyptic number.

It is an amenable number.

161293249 is a deficient number, since it is larger than the sum of its proper divisors (18993039).

161293249 is a wasteful number, since it uses less digits than its factorization.

161293249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3604.

The product of its digits is 23328, while the sum is 37.

The square root of 161293249 is about 12700.1279127417. The cubic root of 161293249 is about 544.3422741949.

It can be divided in two parts, 16129 and 3249, that multiplied together give a square (52403121 = 72392).

The spelling of 161293249 in words is "one hundred sixty-one million, two hundred ninety-three thousand, two hundred forty-nine".

Divisors: 1 13 37 97 481 1261 3457 3589 44941 46657 127909 335329 1662817 4359277 12407173 161293249