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161856032 = 251321732
BaseRepresentation
bin10011010010110…
…11101000100000
3102021120010201212
421221123220200
5312413343112
624021045252
74003516322
oct1151335040
9367503655
10161856032
11833aa918
1246256828
13276c0500
14176d3612
15e322522
hex9a5ba20

161856032 has 54 divisors (see below), whose sum is σ = 347057487. Its totient is φ = 74270976.

The previous prime is 161856029. The next prime is 161856049. The reversal of 161856032 is 230658161.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

161856032 is digitally balanced in base 3, 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 5 ways, for example, as 95335696 + 66520336 = 9764^2 + 8156^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=8996.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 161856032.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 935498 + ... + 935670.

Almost surely, 2161856032 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 161856032

161856032 is an abundant number, since it is smaller than the sum of its proper divisors (185201455).

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

161856032 is an equidigital number, since it uses as much as digits as its factorization.

161856032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 161856032 is about 12722.2652071084. The cubic root of 161856032 is about 544.9746440522.

Multiplying 161856032 by its sum of digits (32), we get a square (5179393024 = 719682).

161856032 divided by its sum of digits (32) gives a square (5058001 = 22492).

The spelling of 161856032 in words is "one hundred sixty-one million, eight hundred fifty-six thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 173 208 338 346 416 676 692 1352 1384 2249 2704 2768 4498 5408 5536 8996 17992 29237 29929 35984 58474 59858 71968 116948 119716 233896 239432 389077 467792 478864 778154 935584 957728 1556308 3112616 5058001 6225232 10116002 12450464 20232004 40464008 80928016 161856032