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1284886096 = 241319437561
BaseRepresentation
bin100110010010101…
…1100111001010000
310022112201222100221
41030211130321100
510112412323341
6331255322424
743561231414
oct11445347120
93275658327
101284886096
115aa314a3a
122ba380414
13176275840
14c2908d44
1577c06ed1
hex4c95ce50

1284886096 has 80 divisors (see below), whose sum is σ = 2888079040. Its totient is φ = 548674560.

The previous prime is 1284886091. The next prime is 1284886117. The reversal of 1284886096 is 6906884821.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1284886091) 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, 166156 + ... + 173716.

It is an arithmetic number, because the mean of its divisors is an integer number (36100988).

Almost surely, 21284886096 is an apocalyptic number.

1284886096 is a gapful number since it is divisible by the number (16) 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 1284886096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444039520).

1284886096 is an abundant number, since it is smaller than the sum of its proper divisors (1603192944).

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

1284886096 is a wasteful number, since it uses less digits than its factorization.

1284886096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7644 (or 7638 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 52.

The square root of 1284886096 is about 35845.3078658839. The cubic root of 1284886096 is about 1087.1468450505.

The spelling of 1284886096 in words is "one billion, two hundred eighty-four million, eight hundred eighty-six thousand, ninety-six".

Divisors: 1 2 4 8 13 16 19 26 38 43 52 76 86 104 152 172 208 247 304 344 494 559 688 817 988 1118 1634 1976 2236 3268 3952 4472 6536 7561 8944 10621 13072 15122 21242 30244 42484 60488 84968 98293 120976 143659 169936 196586 287318 325123 393172 574636 650246 786344 1149272 1300492 1572688 1867567 2298544 2600984 3735134 4226599 5201968 6177337 7470268 8453198 12354674 14940536 16906396 24709348 29881072 33812792 49418696 67625584 80305381 98837392 160610762 321221524 642443048 1284886096