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2382496992 = 253219342863
BaseRepresentation
bin1000111000000010…
…0000010011100000
320011001002101110100
42032000200103200
514334404400432
61032225102400
7113016614241
oct21600402340
96131071410
102382496992
111012948287
12565a87a00
132bc79ac45
141885c4cc8
15de26a07c
hex8e0204e0

2382496992 has 72 divisors (see below), whose sum is σ = 6810489504. Its totient is φ = 790032384.

The previous prime is 2382496973. The next prime is 2382496999. The reversal of 2382496992 is 2996942832.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2382496999) 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, 34153 + ... + 77015.

It is an arithmetic number, because the mean of its divisors is an integer number (94590132).

Almost surely, 22382496992 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 2382496992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3405244752).

2382496992 is an abundant number, since it is smaller than the sum of its proper divisors (4427992512).

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

2382496992 is a wasteful number, since it uses less digits than its factorization.

2382496992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43072 (or 43061 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 2382496992 is about 48810.8286346380. The cubic root of 2382496992 is about 1335.6032084463.

The spelling of 2382496992 in words is "two billion, three hundred eighty-two million, four hundred ninety-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 193 288 386 579 772 1158 1544 1737 2316 3088 3474 4632 6176 6948 9264 13896 18528 27792 42863 55584 85726 128589 171452 257178 342904 385767 514356 685808 771534 1028712 1371616 1543068 2057424 3086136 4114848 6172272 8272559 12344544 16545118 24817677 33090236 49635354 66180472 74453031 99270708 132360944 148906062 198541416 264721888 297812124 397082832 595624248 794165664 1191248496 2382496992