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2664832 = 27109191
BaseRepresentation
bin1010001010100110000000
312000101110111
422022212000
51140233312
6133041104
731436122
oct12124600
95011414
102664832
111560145
12a86194
13723c31
144d5212
153798a7
hex28a980

2664832 has 32 divisors (see below), whose sum is σ = 5385600. Its totient is φ = 1313280.

The previous prime is 2664829. The next prime is 2664847. The reversal of 2664832 is 2384662.

It is a tau number, because it is divible by the number of its divisors (32).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2664794 and 2664803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13857 + ... + 14047.

It is an arithmetic number, because the mean of its divisors is an integer number (168300).

22664832 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 2664832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2692800).

2664832 is an abundant number, since it is smaller than the sum of its proper divisors (2720768).

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

2664832 is a wasteful number, since it uses less digits than its factorization.

2664832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 302 counting only the distinct ones).

The product of its digits is 13824, while the sum is 31.

The square root of 2664832 is about 1632.4313155536. The cubic root of 2664832 is about 138.6404454036.

The spelling of 2664832 in words is "two million, six hundred sixty-four thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 109 128 191 218 382 436 764 872 1528 1744 3056 3488 6112 6976 12224 13952 20819 24448 41638 83276 166552 333104 666208 1332416 2664832