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1085634528 = 253111028063
BaseRepresentation
bin100000010110101…
…0111011111100000
32210122210221121020
41000231113133200
54210410301103
6255420525440
735621512146
oct10055273740
92718727536
101085634528
115078a3320
122636b0880
13143bc10c4
14a427d596
1565499753
hex40b577e0

1085634528 has 48 divisors (see below), whose sum is σ = 3108865536. Its totient is φ = 328979840.

The previous prime is 1085634527. The next prime is 1085634533. The reversal of 1085634528 is 8254365801.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1085634528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085634527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 512976 + ... + 515087.

It is an arithmetic number, because the mean of its divisors is an integer number (64768032).

Almost surely, 21085634528 is an apocalyptic number.

It is an amenable number.

1085634528 is an abundant number, since it is smaller than the sum of its proper divisors (2023231008).

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

1085634528 is a wasteful number, since it uses less digits than its factorization.

1085634528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028087 (or 1028079 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 1085634528 is about 32948.9685422776. The cubic root of 1085634528 is about 1027.7667161808.

The spelling of 1085634528 in words is "one billion, eighty-five million, six hundred thirty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1028063 2056126 3084189 4112252 6168378 8224504 11308693 12336756 16449008 22617386 24673512 32898016 33926079 45234772 49347024 67852158 90469544 98694048 135704316 180939088 271408632 361878176 542817264 1085634528