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2813808 = 24331261
BaseRepresentation
bin1010101110111101110000
312021221211010
422232331300
51210020213
6140150520
732626344
oct12567560
95257733
102813808
111652068
12b38440
1377699a
14533624
153a8ac3
hex2aef70

2813808 has 60 divisors (see below), whose sum is σ = 7634184. Its totient is φ = 892800.

The previous prime is 2813807. The next prime is 2813809. The reversal of 2813808 is 8083182.

It is an interprime number because it is at equal distance from previous prime (2813807) and next prime (2813809).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2813807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46098 + ... + 46158.

22813808 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 2813808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3817092).

2813808 is an abundant number, since it is smaller than the sum of its proper divisors (4820376).

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

2813808 is a wasteful number, since it uses less digits than its factorization.

2813808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 2813808 is about 1677.4409080501. The cubic root of 2813808 is about 141.1772831653.

The spelling of 2813808 in words is "two million, eight hundred thirteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 61 62 93 122 124 183 186 244 248 366 372 488 496 732 744 961 976 1464 1488 1891 1922 2883 2928 3782 3844 5673 5766 7564 7688 11346 11532 15128 15376 22692 23064 30256 45384 46128 58621 90768 117242 175863 234484 351726 468968 703452 937936 1406904 2813808