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2682432 = 26324657
BaseRepresentation
bin1010001110111001000000
312001021121100
422032321000
51141314212
6133254400
731541334
oct12167100
95037540
102682432
111572395
12a94400
1372bc4c
144db7c4
1537ebdc
hex28ee40

2682432 has 42 divisors (see below), whose sum is σ = 7690358. Its totient is φ = 893952.

The previous prime is 2682397. The next prime is 2682457. The reversal of 2682432 is 2342862.

It can be written as a sum of positive squares in only one way, i.e., 1806336 + 876096 = 1344^2 + 936^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2682396 and 2682405.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1753 + ... + 2904.

22682432 is an apocalyptic number.

It is an amenable number.

2682432 is an abundant number, since it is smaller than the sum of its proper divisors (5007926).

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

2682432 is a wasteful number, since it uses less digits than its factorization.

2682432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4675 (or 4662 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 2682432 is about 1637.8131761590. The cubic root of 2682432 is about 138.9449948848.

The spelling of 2682432 in words is "two million, six hundred eighty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 4657 9314 13971 18628 27942 37256 41913 55884 74512 83826 111768 149024 167652 223536 298048 335304 447072 670608 894144 1341216 2682432