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2661408 = 25329241
BaseRepresentation
bin1010001001110000100000
312000012202200
422021300200
51140131113
6133013200
731423131
oct12116040
95005680
102661408
111558612
12a84200
137224c9
144d3c88
15378873
hex289c20

2661408 has 36 divisors (see below), whose sum is σ = 7569198. Its totient is φ = 887040.

The previous prime is 2661403. The next prime is 2661409. The reversal of 2661408 is 8041662.

2661408 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 1468944 + 1192464 = 1212^2 + 1092^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2661403) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 4333 + ... + 4908.

22661408 is an apocalyptic number.

It is an amenable number.

2661408 is an abundant number, since it is smaller than the sum of its proper divisors (4907790).

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

2661408 is a wasteful number, since it uses less digits than its factorization.

2661408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9257 (or 9246 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2661408 is about 1631.3822360195. The cubic root of 2661408 is about 138.5810409904.

The spelling of 2661408 in words is "two million, six hundred sixty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 9241 18482 27723 36964 55446 73928 83169 110892 147856 166338 221784 295712 332676 443568 665352 887136 1330704 2661408