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172429641 = 3841641
BaseRepresentation
bin10100100011100…
…01000101001001
3110000110100000000
422101301011021
5323120222031
625035433213
74162425216
oct1221610511
9400410000
10172429641
1189371a3a
12498b5809
1329953197
1418c86b0d
15102103e6
hexa471149

172429641 has 36 divisors (see below), whose sum is σ = 265352724. Its totient is φ = 111974400.

The previous prime is 172429633. The next prime is 172429651. The reversal of 172429641 is 146924271.

It is a happy number.

172429641 is a `hidden beast` number, since 1 + 7 + 2 + 4 + 2 + 9 + 641 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77951241 + 94478400 = 8829^2 + 9720^2 .

It is not a de Polignac number, because 172429641 - 23 = 172429633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 172429596 and 172429605.

It is not an unprimeable number, because it can be changed into a prime (172429651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 268681 + ... + 269321.

It is an arithmetic number, because the mean of its divisors is an integer number (7370909).

Almost surely, 2172429641 is an apocalyptic number.

It is an amenable number.

172429641 is a deficient number, since it is larger than the sum of its proper divisors (92923083).

172429641 is an frugal number, since it uses more digits than its factorization.

172429641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 685 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 172429641 is about 13131.2467420272. The cubic root of 172429641 is about 556.5924461904.

The spelling of 172429641 in words is "one hundred seventy-two million, four hundred twenty-nine thousand, six hundred forty-one".

Divisors: 1 3 9 27 41 81 123 243 369 641 729 1107 1923 2187 3321 5769 6561 9963 17307 26281 29889 51921 78843 89667 155763 236529 269001 467289 709587 1401867 2128761 4205601 6386283 19158849 57476547 172429641