Search a number
-
+
182340048 = 243111971753
BaseRepresentation
bin10101101111001…
…00100111010000
3110201002211112010
422313210213100
5333134340143
630032102520
74342602432
oct1267444720
9421084463
10182340048
1193a20860
1251094a40
132ba13027
141a306652
151101ba33
hexade49d0

182340048 has 80 divisors (see below), whose sum is σ = 516770496. Its totient is φ = 54942720.

The previous prime is 182340043. The next prime is 182340071. The reversal of 182340048 is 840043281.

182340048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 182339997 and 182340024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (182340043) 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, 103140 + ... + 104892.

Almost surely, 2182340048 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 182340048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258385248).

182340048 is an abundant number, since it is smaller than the sum of its proper divisors (334430448).

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

182340048 is a wasteful number, since it uses less digits than its factorization.

182340048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 182340048 is about 13503.3346992511. The cubic root of 182340048 is about 567.0578343378.

The spelling of 182340048 in words is "one hundred eighty-two million, three hundred forty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 197 264 394 528 591 788 1182 1576 1753 2167 2364 3152 3506 4334 4728 5259 6501 7012 8668 9456 10518 13002 14024 17336 19283 21036 26004 28048 34672 38566 42072 52008 57849 77132 84144 104016 115698 154264 231396 308528 345341 462792 690682 925584 1036023 1381364 2072046 2762728 3798751 4144092 5525456 7597502 8288184 11396253 15195004 16576368 22792506 30390008 45585012 60780016 91170024 182340048