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450553131 = 3376413719
BaseRepresentation
bin11010110110101…
…110010100101011
31011101210110201000
4122312232110223
51410320200011
6112412530043
714110431660
oct3266562453
91141713630
10450553131
11211364266
12106a80923
13724616b2
1443ba3a67
152984c356
hex1adae52b

450553131 has 32 divisors (see below), whose sum is σ = 764236800. Its totient is φ = 256988160.

The previous prime is 450553127. The next prime is 450553189. The reversal of 450553131 is 131355054.

It is not a de Polignac number, because 450553131 - 22 = 450553127 is a prime.

It is a super-2 number, since 2×4505531312 = 405996247707806322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 450553095 and 450553104.

It is not an unprimeable number, because it can be changed into a prime (450553111) 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, 119290 + ... + 123008.

It is an arithmetic number, because the mean of its divisors is an integer number (23882400).

Almost surely, 2450553131 is an apocalyptic number.

450553131 is a deficient number, since it is larger than the sum of its proper divisors (313683669).

450553131 is a wasteful number, since it uses less digits than its factorization.

450553131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4376 (or 4370 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 450553131 is about 21226.2368544215. The cubic root of 450553131 is about 766.6232812458.

The spelling of 450553131 in words is "four hundred fifty million, five hundred fifty-three thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 189 641 1923 3719 4487 5769 11157 13461 17307 26033 33471 40383 78099 100413 121149 234297 702891 2383879 7151637 16687153 21454911 50061459 64364733 150184377 450553131