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1427635368 = 23342203141
BaseRepresentation
bin101010100010111…
…1111110010101000
310200111100101120000
41111011333302220
510410433312433
6353355103000
750243462145
oct12505776250
93614311500
101427635368
11672954645
1233a141a60
13199a06373
14d78673cc
1585503113
hex5517fca8

1427635368 has 40 divisors (see below), whose sum is σ = 3998702730. Its totient is φ = 475878240.

The previous prime is 1427635361. The next prime is 1427635373. The reversal of 1427635368 is 8635367241.

1427635368 is a `hidden beast` number, since 1 + 4 + 2 + 7 + 635 + 3 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1027715364 + 399920004 = 32058^2 + 19998^2 .

It is not an unprimeable number, because it can be changed into a prime (1427635361) 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 9 ways as a sum of consecutive naturals, for example, 1100923 + ... + 1102218.

Almost surely, 21427635368 is an apocalyptic number.

1427635368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1427635368 is an abundant number, since it is smaller than the sum of its proper divisors (2571067362).

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

1427635368 is a wasteful number, since it uses less digits than its factorization.

1427635368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203159 (or 2203146 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 1427635368 is about 37784.0623543843. The cubic root of 1427635368 is about 1126.0018382420.

The spelling of 1427635368 in words is "one billion, four hundred twenty-seven million, six hundred thirty-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 2203141 4406282 6609423 8812564 13218846 17625128 19828269 26437692 39656538 52875384 59484807 79313076 118969614 158626152 178454421 237939228 356908842 475878456 713817684 1427635368