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145382391 = 3371169929
BaseRepresentation
bin10001010101001…
…01101111110111
3101010120012011000
420222211233313
5244204214031
622232014343
73413505240
oct1052455767
9333505130
10145382391
1175078a40
12408313b3
13241731ab
1415445cc7
15cb6b3e6
hex8aa5bf7

145382391 has 32 divisors (see below), whose sum is σ = 268531200. Its totient is φ = 75522240.

The previous prime is 145382387. The next prime is 145382399. The reversal of 145382391 is 193283541.

145382391 is a `hidden beast` number, since 14 + 538 + 23 + 91 = 666.

It is not a de Polignac number, because 145382391 - 22 = 145382387 is a prime.

It is a super-2 number, since 2×1453823912 = 42272079225753762, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145382399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32886 + ... + 37043.

It is an arithmetic number, because the mean of its divisors is an integer number (8391600).

Almost surely, 2145382391 is an apocalyptic number.

145382391 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

145382391 is a deficient number, since it is larger than the sum of its proper divisors (123148809).

145382391 is a wasteful number, since it uses less digits than its factorization.

145382391 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69956 (or 69950 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 145382391 is about 12057.4620463844. The cubic root of 145382391 is about 525.8202036488.

The spelling of 145382391 in words is "one hundred forty-five million, three hundred eighty-two thousand, three hundred ninety-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 69929 209787 489503 629361 769219 1468509 1888083 2307657 4405527 5384533 6922971 13216581 16153599 20768913 48460797 145382391