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1085493258 = 233291016863
BaseRepresentation
bin100000010110011…
…0101000000001010
32210122112202211000
41000230311000022
54210341241013
6255413515430
735620353243
oct10054650012
92718482730
101085493258
11507807173
12263642b76
13143b71a05
14a4243cca
156546c973
hex40b3500a

1085493258 has 64 divisors (see below), whose sum is σ = 2520460800. Its totient is φ = 345844800.

The previous prime is 1085493239. The next prime is 1085493263. The reversal of 1085493258 is 8523945801.

1085493258 is a `hidden beast` number, since 108 + 5 + 493 + 2 + 58 = 666.

It is a super-2 number, since 2×10854932582 = 2356591226326909128, which contains 22 as substring.

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, 154735 + ... + 161597.

It is an arithmetic number, because the mean of its divisors is an integer number (39382200).

Almost surely, 21085493258 is an apocalyptic number.

1085493258 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 1085493258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260230400).

1085493258 is an abundant number, since it is smaller than the sum of its proper divisors (1434967542).

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

1085493258 is a wasteful number, since it uses less digits than its factorization.

1085493258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7004 (or 6998 counting only the distinct ones).

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

The square root of 1085493258 is about 32946.8247028450. The cubic root of 1085493258 is about 1027.7221342954.

The spelling of 1085493258 in words is "one billion, eighty-five million, four hundred ninety-three thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 101 174 202 261 303 522 606 783 909 1566 1818 2727 2929 5454 5858 6863 8787 13726 17574 20589 26361 41178 52722 61767 79083 123534 158166 185301 199027 370602 398054 597081 693163 1194162 1386326 1791243 2079489 3582486 4158978 5373729 6238467 10747458 12476934 18715401 20101727 37430802 40203454 60305181 120610362 180915543 361831086 542746629 1085493258