Search a number
-
+
172669872 = 24319593209
BaseRepresentation
bin10100100101010…
…11101110110000
3110000220112112110
422102223232300
5323200413442
625044525320
74164445464
oct1222535660
9400815473
10172669872
1189516481
12499b0840
1329a0862b
1418d0a4a4
151025b69c
hexa4abbb0

172669872 has 80 divisors (see below), whose sum is σ = 477648000. Its totient is φ = 53586432.

The previous prime is 172669823. The next prime is 172669873. The reversal of 172669872 is 278966271.

172669872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (172669873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52204 + ... + 55412.

It is an arithmetic number, because the mean of its divisors is an integer number (5970600).

Almost surely, 2172669872 is an apocalyptic number.

172669872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172669872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238824000).

172669872 is an abundant number, since it is smaller than the sum of its proper divisors (304978128).

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

172669872 is a wasteful number, since it uses less digits than its factorization.

172669872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3298 (or 3292 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The square root of 172669872 is about 13140.3908617666. The cubic root of 172669872 is about 556.8508099524.

The spelling of 172669872 in words is "one hundred seventy-two million, six hundred sixty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 59 76 114 118 152 177 228 236 304 354 456 472 708 912 944 1121 1416 2242 2832 3209 3363 4484 6418 6726 8968 9627 12836 13452 17936 19254 25672 26904 38508 51344 53808 60971 77016 121942 154032 182913 189331 243884 365826 378662 487768 567993 731652 757324 975536 1135986 1463304 1514648 2271972 2926608 3029296 3597289 4543944 7194578 9087888 10791867 14389156 21583734 28778312 43167468 57556624 86334936 172669872