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161448 = 2337312
BaseRepresentation
bin100111011010101000
322012110120
4213122220
520131243
63243240
71241460
oct473250
9265416
10161448
11100331
1279520
1358641
1442ba0
1532c83
hex276a8

161448 has 48 divisors (see below), whose sum is σ = 476640. Its totient is φ = 44640.

The previous prime is 161411. The next prime is 161453. The reversal of 161448 is 844161.

161448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 161448.

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, 5193 + ... + 5223.

It is an arithmetic number, because the mean of its divisors is an integer number (9930).

2161448 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 161448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238320).

161448 is an abundant number, since it is smaller than the sum of its proper divisors (315192).

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

161448 is a wasteful number, since it uses less digits than its factorization.

161448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 43 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 161448 is about 401.8059233013. The cubic root of 161448 is about 54.4516306247.

The spelling of 161448 in words is "one hundred sixty-one thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 961 1302 1736 1922 2604 2883 3844 5208 5766 6727 7688 11532 13454 20181 23064 26908 40362 53816 80724 161448