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981985092 = 22311231811787
BaseRepresentation
bin111010100001111…
…110011101000100
32112102210000022020
4322201332131010
54002342010332
6241235203140
733222510204
oct7241763504
92472700266
10981985092
11464339a30
12234a464b0
131285a048a
14945bc404
155b32382c
hex3a87e744

981985092 has 96 divisors (see below), whose sum is σ = 2624154624. Its totient is φ = 282902400.

The previous prime is 981985061. The next prime is 981985097. The reversal of 981985092 is 290589189.

It is not an unprimeable number, because it can be changed into a prime (981985097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 548623 + ... + 550409.

It is an arithmetic number, because the mean of its divisors is an integer number (27334944).

Almost surely, 2981985092 is an apocalyptic number.

981985092 is a gapful number since it is divisible by the number (92) 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 981985092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312077312).

981985092 is an abundant number, since it is smaller than the sum of its proper divisors (1642169532).

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

981985092 is a wasteful number, since it uses less digits than its factorization.

981985092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 51.

The square root of 981985092 is about 31336.6413643836. The cubic root of 981985092 is about 993.9586057223.

The spelling of 981985092 in words is "nine hundred eighty-one million, nine hundred eighty-five thousand, ninety-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 181 253 276 362 506 543 724 759 1012 1086 1518 1787 1991 2172 3036 3574 3982 4163 5361 5973 7148 7964 8326 10722 11946 12489 16652 19657 21444 23892 24978 39314 41101 45793 49956 58971 78628 82202 91586 117942 123303 137379 164404 183172 235884 246606 274758 323447 452111 493212 549516 646894 904222 970341 1293788 1356333 1808444 1940682 2712666 3557917 3881364 5425332 7115834 7439281 10673751 14231668 14878562 21347502 22317843 29757124 42695004 44635686 81832091 89271372 163664182 245496273 327328364 490992546 981985092