Search a number
-
+
2823948 = 2232471669
BaseRepresentation
bin1010110001011100001100
312022110201200
422301130030
51210331243
6140305500
733001041
oct12613414
95273650
102823948
111659746
12b42290
1377b49a
145371c8
153abad3
hex2b170c

2823948 has 36 divisors (see below), whose sum is σ = 7294560. Its totient is φ = 920736.

The previous prime is 2823943. The next prime is 2823971. The reversal of 2823948 is 8493282.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2823943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 858 + ... + 2526.

22823948 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 2823948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3647280).

2823948 is an abundant number, since it is smaller than the sum of its proper divisors (4470612).

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

2823948 is a wasteful number, since it uses less digits than its factorization.

2823948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1721 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 2823948 is about 1680.4606511311. The cubic root of 2823948 is about 141.3466647169.

The spelling of 2823948 in words is "two million, eight hundred twenty-three thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1669 1692 3338 5007 6676 10014 15021 20028 30042 60084 78443 156886 235329 313772 470658 705987 941316 1411974 2823948