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512400144 = 24310675003
BaseRepresentation
bin11110100010101…
…001101100010000
31022201011121212010
4132202221230100
52022133301034
6122502302520
715461220654
oct3642515420
91281147763
10512400144
112432668a3
12123727a40
1382207269
144c0a2a64
152eeb73e9
hex1e8a9b10

512400144 has 20 divisors (see below), whose sum is σ = 1323700496. Its totient is φ = 170800032.

The previous prime is 512400089. The next prime is 512400167. The reversal of 512400144 is 441004215.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 512400144.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 5337454 + ... + 5337549.

Almost surely, 2512400144 is an apocalyptic number.

It is an amenable number.

512400144 is an abundant number, since it is smaller than the sum of its proper divisors (811300352).

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

512400144 is a wasteful number, since it uses less digits than its factorization.

512400144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10675014 (or 10675008 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 512400144 is about 22636.2572878115. The cubic root of 512400144 is about 800.2083540644.

Adding to 512400144 its reverse (441004215), we get a palindrome (953404359).

The spelling of 512400144 in words is "five hundred twelve million, four hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 10675003 21350006 32025009 42700012 64050018 85400024 128100036 170800048 256200072 512400144