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145324512 = 2532504599
BaseRepresentation
bin10001010100101…
…11100111100000
3101010110020202100
420222113213200
5244200341022
622230450400
73413144424
oct1052274740
9333406670
10145324512
1175039503
1240803a00
1324152a48
141542cb84
15cb591ac
hex8a979e0

145324512 has 36 divisors (see below), whose sum is σ = 413267400. Its totient is φ = 48441408.

The previous prime is 145324507. The next prime is 145324519. The reversal of 145324512 is 215423541.

145324512 is a `hidden beast` number, since 145 + 3 + 2 + 4 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1453245122 = 42238427576076288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145324519) 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, 252012 + ... + 252587.

It is an arithmetic number, because the mean of its divisors is an integer number (11479650).

Almost surely, 2145324512 is an apocalyptic number.

145324512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145324512 is an abundant number, since it is smaller than the sum of its proper divisors (267942888).

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

145324512 is a wasteful number, since it uses less digits than its factorization.

145324512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504615 (or 504604 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 145324512 is about 12055.0616754955. The cubic root of 145324512 is about 525.7504153088.

It can be divided in two parts, 14532 and 4512, that added together give a square (19044 = 1382).

The spelling of 145324512 in words is "one hundred forty-five million, three hundred twenty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 504599 1009198 1513797 2018396 3027594 4036792 4541391 6055188 8073584 9082782 12110376 16147168 18165564 24220752 36331128 48441504 72662256 145324512