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172449168 = 243191731093
BaseRepresentation
bin10100100011101…
…01110110010000
3110000111022210020
422101311312100
5323121333133
625040103440
74162536153
oct1221656620
9400438706
10172449168
1189385681
1249904b80
132995c038
1418c8dc9a
15102160b3
hexa475d90

172449168 has 80 divisors (see below), whose sum is σ = 472082880. Its totient is φ = 54093312.

The previous prime is 172449143. The next prime is 172449209. The reversal of 172449168 is 861944271.

It is an unprimeable number.

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, 157230 + ... + 158322.

It is an arithmetic number, because the mean of its divisors is an integer number (5901036).

Almost surely, 2172449168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172449168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236041440).

172449168 is an abundant number, since it is smaller than the sum of its proper divisors (299633712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

172449168 is a wasteful number, since it uses less digits than its factorization.

172449168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1290 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 172449168 is about 13131.9902528139. The cubic root of 172449168 is about 556.6134560555.

The spelling of 172449168 in words is "one hundred seventy-two million, four hundred forty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 173 228 304 346 456 519 692 912 1038 1093 1384 2076 2186 2768 3279 3287 4152 4372 6558 6574 8304 8744 9861 13116 13148 17488 19722 20767 26232 26296 39444 41534 52464 52592 62301 78888 83068 124602 157776 166136 189089 249204 332272 378178 498408 567267 756356 996816 1134534 1512712 2269068 3025424 3592691 4538136 7185382 9076272 10778073 14370764 21556146 28741528 43112292 57483056 86224584 172449168