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2664672 = 25341677
BaseRepresentation
bin1010001010100011100000
312000101020120
422022203200
51140232142
6133040240
731435503
oct12124340
95011216
102664672
11156000a
12a86080
13723b3a
144d513a
153797ec
hex28a8e0

2664672 has 48 divisors (see below), whose sum is σ = 7175952. Its totient is φ = 865280.

The previous prime is 2664661. The next prime is 2664689. The reversal of 2664672 is 2764662.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3598 + ... + 4274.

It is an arithmetic number, because the mean of its divisors is an integer number (149499).

22664672 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 2664672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3587976).

2664672 is an abundant number, since it is smaller than the sum of its proper divisors (4511280).

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

2664672 is a wasteful number, since it uses less digits than its factorization.

2664672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 723 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 2664672 is about 1632.3823081619. The cubic root of 2664672 is about 138.6376706301.

The spelling of 2664672 in words is "two million, six hundred sixty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 677 984 1312 1354 1968 2031 2708 3936 4062 5416 8124 10832 16248 21664 27757 32496 55514 64992 83271 111028 166542 222056 333084 444112 666168 888224 1332336 2664672