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1085548338 = 23376742863
BaseRepresentation
bin100000010110100…
…0010011100110010
32210122122120101000
41000231002130302
54210400021323
6255415022430
735621002650
oct10055023462
92718576330
101085548338
11507844596
1226366aa16
13143b90ac4
14a4259dd0
156547de43
hex40b42732

1085548338 has 64 divisors (see below), whose sum is σ = 2798161920. Its totient is φ = 305520336.

The previous prime is 1085548313. The next prime is 1085548361. The reversal of 1085548338 is 8338455801.

1085548338 is a `hidden beast` number, since 10 + 8 + 554 + 83 + 3 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1085548293 and 1085548302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3895 + ... + 46757.

It is an arithmetic number, because the mean of its divisors is an integer number (43721280).

Almost surely, 21085548338 is an apocalyptic number.

1085548338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085548338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399080960).

1085548338 is an abundant number, since it is smaller than the sum of its proper divisors (1712613582).

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

1085548338 is a wasteful number, since it uses less digits than its factorization.

1085548338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42948 (or 42942 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 1085548338 is about 32947.6605846303. The cubic root of 1085548338 is about 1027.7395168624.

The spelling of 1085548338 in words is "one billion, eighty-five million, five hundred forty-eight thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 67 126 134 189 201 378 402 469 603 938 1206 1407 1809 2814 3618 4221 8442 12663 25326 42863 85726 128589 257178 300041 385767 600082 771534 900123 1157301 1800246 2314602 2700369 2871821 5400738 5743642 8101107 8615463 16202214 17230926 20102747 25846389 40205494 51692778 60308241 77539167 120616482 155078334 180924723 361849446 542774169 1085548338