Search a number
-
+
169245856 = 25132914029
BaseRepresentation
bin10100001011001…
…11110010100000
3102210110120200001
422011213302200
5321311331411
624443305344
74123365103
oct1205476240
9383416601
10169245856
1187597a0a
124881b254
13290a9ca0
141869873a
15ecd1dc1
hexa167ca0

169245856 has 48 divisors (see below), whose sum is σ = 371233800. Its totient is φ = 75414528.

The previous prime is 169245851. The next prime is 169245877. The reversal of 169245856 is 658542961.

It can be written as a sum of positive squares in 4 ways, for example, as 66912400 + 102333456 = 8180^2 + 10116^2 .

It is not an unprimeable number, because it can be changed into a prime (169245851) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5050 + ... + 19078.

Almost surely, 2169245856 is an apocalyptic number.

169245856 is a gapful number since it is divisible by the number (16) 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 169245856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185616900).

169245856 is an abundant number, since it is smaller than the sum of its proper divisors (201987944).

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

169245856 is a wasteful number, since it uses less digits than its factorization.

169245856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14081 (or 14073 counting only the distinct ones).

The product of its digits is 518400, while the sum is 46.

The square root of 169245856 is about 13009.4525634248. The cubic root of 169245856 is about 553.1454545129.

The spelling of 169245856 in words is "one hundred sixty-nine million, two hundred forty-five thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 464 754 928 1508 3016 6032 12064 14029 28058 56116 112232 182377 224464 364754 406841 448928 729508 813682 1459016 1627364 2918032 3254728 5288933 5836064 6509456 10577866 13018912 21155732 42311464 84622928 169245856