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1820485968 = 243747115279
BaseRepresentation
bin110110010000010…
…0110100101010000
311200212120021021020
41230200212211100
512212021022333
6500351155440
763053606160
oct15440464520
94625507236
101820485968
11854687064
12429815b80
13230213742
14133aca5a0
15a9c533b3
hex6c826950

1820485968 has 80 divisors (see below), whose sum is σ = 5489172480. Its totient is φ = 509067648.

The previous prime is 1820485967. The next prime is 1820485973. The reversal of 1820485968 is 8695840281.

It is a self number, because there is not a number n which added to its sum of digits gives 1820485968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1820485967) 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, 41848 + ... + 73431.

It is an arithmetic number, because the mean of its divisors is an integer number (68614656).

Almost surely, 21820485968 is an apocalyptic number.

It is an amenable number.

1820485968 is an abundant number, since it is smaller than the sum of its proper divisors (3668686512).

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

1820485968 is a wasteful number, since it uses less digits than its factorization.

1820485968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115344 (or 115338 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 51.

The square root of 1820485968 is about 42667.1532680586. The cubic root of 1820485968 is about 1221.0378090316.

The spelling of 1820485968 in words is "one billion, eight hundred twenty million, four hundred eighty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 56 84 94 112 141 168 188 282 329 336 376 564 658 752 987 1128 1316 1974 2256 2632 3948 5264 7896 15792 115279 230558 345837 461116 691674 806953 922232 1383348 1613906 1844464 2420859 2766696 3227812 4841718 5418113 5533392 6455624 9683436 10836226 12911248 16254339 19366872 21672452 32508678 37926791 38733744 43344904 65017356 75853582 86689808 113780373 130034712 151707164 227560746 260069424 303414328 455121492 606828656 910242984 1820485968