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2675808 = 253319163
BaseRepresentation
bin1010001101010001100000
312000221112000
422031101200
51141111213
6133204000
731513122
oct12152140
95027460
102675808
111568413
12a90600
13728c25
144d9212
1537cc73
hex28d460

2675808 has 96 divisors (see below), whose sum is σ = 8265600. Its totient is φ = 839808.

The previous prime is 2675807. The next prime is 2675821. The reversal of 2675808 is 8085762.

2675808 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2675807) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16335 + ... + 16497.

It is an arithmetic number, because the mean of its divisors is an integer number (86100).

22675808 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 2675808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4132800).

2675808 is an abundant number, since it is smaller than the sum of its proper divisors (5589792).

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

2675808 is a wasteful number, since it uses less digits than its factorization.

2675808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2675808 is about 1635.7897175371. The cubic root of 2675808 is about 138.8305303148.

The spelling of 2675808 in words is "two million, six hundred seventy-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 163 171 216 228 288 304 326 342 432 456 489 513 608 652 684 864 912 978 1026 1304 1368 1467 1824 1956 2052 2608 2736 2934 3097 3912 4104 4401 5216 5472 5868 6194 7824 8208 8802 9291 11736 12388 15648 16416 17604 18582 23472 24776 27873 35208 37164 46944 49552 55746 70416 74328 83619 99104 111492 140832 148656 167238 222984 297312 334476 445968 668952 891936 1337904 2675808