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1427635332 = 2232148926633
BaseRepresentation
bin101010100010111…
…1111110010000100
310200111100101111200
41111011333302010
510410433312312
6353355102500
750243462064
oct12505776204
93614311450
101427635332
11672954612
1233a141a30
13199a06346
14d78673a4
15855030dc
hex5517fc84

1427635332 has 36 divisors (see below), whose sum is σ = 3611304060. Its totient is φ = 475540992.

The previous prime is 1427635291. The next prime is 1427635351. The reversal of 1427635332 is 2335367241.

1427635332 is a `hidden beast` number, since 1 + 4 + 276 + 353 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 980566596 + 447068736 = 31314^2 + 21144^2 .

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

It is a super-3 number, since 3×14276353323 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40288 + ... + 66920.

Almost surely, 21427635332 is an apocalyptic number.

1427635332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1427635332 is an abundant number, since it is smaller than the sum of its proper divisors (2183668728).

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

1427635332 is a wasteful number, since it uses less digits than its factorization.

1427635332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28132 (or 28127 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 1427635332 is about 37784.0618779929. The cubic root of 1427635332 is about 1126.0018287773.

The spelling of 1427635332 in words is "one billion, four hundred twenty-seven million, six hundred thirty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1489 2978 4467 5956 8934 13401 17868 26633 26802 53266 53604 79899 106532 159798 239697 319596 479394 958788 39656537 79313074 118969611 158626148 237939222 356908833 475878444 713817666 1427635332