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1082088192 = 28311872
BaseRepresentation
bin100000001111111…
…0101101100000000
32210102010202221110
41000133311230000
54204003310232
6255212523320
735546412033
oct10037655400
92712122843
101082088192
115058a0969
12262480540
1314324bb93
14a39d901a
1564ee8acc
hex407f5b00

1082088192 has 54 divisors (see below), whose sum is σ = 2882360908. Its totient is φ = 360392192.

The previous prime is 1082088169. The next prime is 1082088193. The reversal of 1082088192 is 2918802801.

It is a self number, because there is not a number n which added to its sum of digits gives 1082088192.

It is not an unprimeable number, because it can be changed into a prime (1082088193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 911023 + ... + 912209.

Almost surely, 21082088192 is an apocalyptic number.

1082088192 is a gapful number since it is divisible by the number (12) 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 1082088192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441180454).

1082088192 is an abundant number, since it is smaller than the sum of its proper divisors (1800272716).

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

1082088192 is an frugal number, since it uses more digits than its factorization.

1082088192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 1082088192 is about 32895.1089373481. The cubic root of 1082088192 is about 1026.6463937827.

The spelling of 1082088192 in words is "one billion, eighty-two million, eighty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1187 2374 3561 4748 7122 9496 14244 18992 28488 37984 56976 75968 113952 151936 227904 303872 455808 911616 1408969 2817938 4226907 5635876 8453814 11271752 16907628 22543504 33815256 45087008 67630512 90174016 135261024 180348032 270522048 360696064 541044096 1082088192