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2382948 = 2232371789
BaseRepresentation
bin1001000101110001100100
311111001210100
421011301210
51102223243
6123024100
726153241
oct11056144
94431710
102382948
111388387
1296b030
13655839
144605c8
153210d3
hex245c64

2382948 has 36 divisors (see below), whose sum is σ = 6189820. Its totient is φ = 772416.

The previous prime is 2382943. The next prime is 2382953. The reversal of 2382948 is 8492832.

It is an interprime number because it is at equal distance from previous prime (2382943) and next prime (2382953).

It can be written as a sum of positive squares in 2 ways, for example, as 2196324 + 186624 = 1482^2 + 432^2 .

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 a d-powerful number, because it can be written as 210 + 313 + 82 + 219 + 92 + 45 + 86 .

It is not an unprimeable number, because it can be changed into a prime (2382943) 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, 438 + ... + 2226.

22382948 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 2382948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3094910).

2382948 is an abundant number, since it is smaller than the sum of its proper divisors (3806872).

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

2382948 is a wasteful number, since it uses less digits than its factorization.

2382948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1831 counting only the distinct ones).

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

The square root of 2382948 is about 1543.6800186567. The cubic root of 2382948 is about 133.5687479938.

The spelling of 2382948 in words is "two million, three hundred eighty-two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1789 3578 5367 7156 10734 16101 21468 32202 64404 66193 132386 198579 264772 397158 595737 794316 1191474 2382948