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172315949 = 1323121061
BaseRepresentation
bin10100100010101…
…01010100101101
3110000020120001012
422101111110231
5323103102244
625033155005
74161442601
oct1221252455
9400216035
10172315949
11892a4583
124985ba65
1329913500
1418c57501
15101db89e
hexa45552d

172315949 has 18 divisors (see below), whose sum is σ = 192985578. Its totient is φ = 153784800.

The previous prime is 172315909. The next prime is 172315973. The reversal of 172315949 is 949513271.

It can be written as a sum of positive squares in 3 ways, for example, as 1177225 + 171138724 = 1085^2 + 13082^2 .

It is a de Polignac number, because none of the positive numbers 2k-172315949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172315909) 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 17 ways as a sum of consecutive naturals, for example, 161879 + ... + 162939.

It is an arithmetic number, because the mean of its divisors is an integer number (10721421).

Almost surely, 2172315949 is an apocalyptic number.

It is an amenable number.

172315949 is a deficient number, since it is larger than the sum of its proper divisors (20669629).

172315949 is a wasteful number, since it uses less digits than its factorization.

172315949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1105 counting only the distinct ones).

The product of its digits is 68040, while the sum is 41.

The square root of 172315949 is about 13126.9169647713. The cubic root of 172315949 is about 556.4700889957.

The spelling of 172315949 in words is "one hundred seventy-two million, three hundred fifteen thousand, nine hundred forty-nine".

Divisors: 1 13 31 169 403 961 1061 5239 12493 13793 32891 162409 179309 427583 1019621 5558579 13255073 172315949