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3260281472 = 2775961673
BaseRepresentation
bin1100001001010011…
…1111001010000000
322102012210110101122
43002110333022000
523134113001342
61255303051412
7143535635540
oct30224771200
98365713348
103260281472
1114233867a8
1276ba40b68
133cc5b6946
1422cddb320
151413594d2
hexc253f280

3260281472 has 64 divisors (see below), whose sum is σ = 7548897600. Its totient is φ = 1373558784.

The previous prime is 3260281469. The next prime is 3260281523. The reversal of 3260281472 is 2741820623.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 22028 + ... + 83700.

It is an arithmetic number, because the mean of its divisors is an integer number (117951525).

Almost surely, 23260281472 is an apocalyptic number.

3260281472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3260281472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3774448800).

3260281472 is an abundant number, since it is smaller than the sum of its proper divisors (4288616128).

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

3260281472 is an equidigital number, since it uses as much as digits as its factorization.

3260281472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61753 (or 61741 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 3260281472 is about 57098.8745248100. The cubic root of 3260281472 is about 1482.8083807462.

The spelling of 3260281472 in words is "three billion, two hundred sixty million, two hundred eighty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 112 118 128 224 236 413 448 472 826 896 944 1652 1888 3304 3776 6608 7552 13216 26432 52864 61673 123346 246692 431711 493384 863422 986768 1726844 1973536 3453688 3638707 3947072 6907376 7277414 7894144 13814752 14554828 25470949 27629504 29109656 50941898 55259008 58219312 101883796 116438624 203767592 232877248 407535184 465754496 815070368 1630140736 3260281472