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1284676484 = 227132733719
BaseRepresentation
bin100110010010010…
…1001101110000100
310022112100022211112
41030210221232010
510112334121414
6331251024152
743556366330
oct11444515604
93275308745
101284676484
115aa191503
122ba29b058
13176201300
14c28927c0
1577bb4d3e
hex4c929b84

1284676484 has 72 divisors (see below), whose sum is σ = 2821069440. Its totient is φ = 501126912.

The previous prime is 1284676403. The next prime is 1284676511. The reversal of 1284676484 is 4846764821.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 343577 + ... + 347295.

It is an arithmetic number, because the mean of its divisors is an integer number (39181520).

Almost surely, 21284676484 is an apocalyptic number.

1284676484 is a gapful number since it is divisible by the number (14) 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 1284676484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410534720).

1284676484 is an abundant number, since it is smaller than the sum of its proper divisors (1536392956).

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

1284676484 is a wasteful number, since it uses less digits than its factorization.

1284676484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3829 (or 3814 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 50.

The square root of 1284676484 is about 35842.3839050920. The cubic root of 1284676484 is about 1087.0877240077.

The spelling of 1284676484 in words is "one billion, two hundred eighty-four million, six hundred seventy-six thousand, four hundred eighty-four".

Divisors: 1 2 4 7 13 14 26 28 52 73 91 146 169 182 292 338 364 511 676 949 1022 1183 1898 2044 2366 3719 3796 4732 6643 7438 12337 13286 14876 24674 26033 26572 48347 49348 52066 86359 96694 104132 172718 193388 271487 338429 345436 542974 628511 676858 1085948 1257022 1353716 1900409 2514044 3529331 3800818 4399577 7058662 7601636 8799154 14117324 17598308 24705317 45881303 49410634 91762606 98821268 183525212 321169121 642338242 1284676484