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1085325984 = 25323768493
BaseRepresentation
bin100000010110000…
…1100001010100000
32210122020021100200
41000230030022200
54210320412414
6255410145200
735616055461
oct10054141240
92718207320
101085325984
11507702526
12263582200
13143b13832
14a41dcd68
1565438109
hex40b0c2a0

1085325984 has 36 divisors (see below), whose sum is σ = 3086396586. Its totient is φ = 361775232.

The previous prime is 1085325959. The next prime is 1085326049. The reversal of 1085325984 is 4895235801.

1085325984 is a `hidden beast` number, since 1 + 0 + 8 + 53 + 2 + 598 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1053651600 + 31674384 = 32460^2 + 5628^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1883959 + ... + 1884534.

Almost surely, 21085325984 is an apocalyptic number.

It is an amenable number.

1085325984 is an abundant number, since it is smaller than the sum of its proper divisors (2001070602).

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

1085325984 is a wasteful number, since it uses less digits than its factorization.

1085325984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3768509 (or 3768498 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 1085325984 is about 32944.2860599528. The cubic root of 1085325984 is about 1027.6693410845.

The spelling of 1085325984 in words is "one billion, eighty-five million, three hundred twenty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3768493 7536986 11305479 15073972 22610958 30147944 33916437 45221916 60295888 67832874 90443832 120591776 135665748 180887664 271331496 361775328 542662992 1085325984