Search a number
-
+
166529896 = 23132373329
BaseRepresentation
bin10011110110100…
…00101101101000
3102121100121001221
421323100231220
5320112424041
624305151424
74061323621
oct1173205550
9377317057
10166529896
1186002415
124792b574
1328668a00
141818ca48
15e9472d1
hex9ed0b68

166529896 has 48 divisors (see below), whose sum is σ = 347352300. Its totient is φ = 74760192.

The previous prime is 166529879. The next prime is 166529903. The reversal of 166529896 is 698925661.

166529896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 48024900 + 118504996 = 6930^2 + 10886^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48360 + ... + 51688.

Almost surely, 2166529896 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 166529896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173676150).

166529896 is an abundant number, since it is smaller than the sum of its proper divisors (180822404).

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

166529896 is a wasteful number, since it uses less digits than its factorization.

166529896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3398 (or 3381 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 52.

The square root of 166529896 is about 12904.6462950365. The cubic root of 166529896 is about 550.1706313556.

The spelling of 166529896 in words is "one hundred sixty-six million, five hundred twenty-nine thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 169 296 338 481 676 962 1352 1924 3329 3848 6253 6658 12506 13316 25012 26632 43277 50024 86554 123173 173108 246346 346216 492692 562601 985384 1125202 1601249 2250404 3202498 4500808 6404996 12809992 20816237 41632474 83264948 166529896