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1011002432 = 26112130553
BaseRepresentation
bin111100010000101…
…010110001000000
32121110101020121112
4330100222301000
54032304034212
6244153142452
734024243646
oct7420526100
92543336545
101011002432
11479759100
122426baa28
131315c00bb
14983b3196
155db56422
hex3c42ac40

1011002432 has 42 divisors (see below), whose sum is σ = 2205187614. Its totient is φ = 459543040.

The previous prime is 1011002417. The next prime is 1011002527. The reversal of 1011002432 is 2342001101.

It can be written as a sum of positive squares in only one way, i.e., 594189376 + 416813056 = 24376^2 + 20416^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57533 + ... + 73020.

It is an arithmetic number, because the mean of its divisors is an integer number (52504467).

Almost surely, 21011002432 is an apocalyptic number.

It is an amenable number.

1011002432 is an abundant number, since it is smaller than the sum of its proper divisors (1194185182).

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

1011002432 is a wasteful number, since it uses less digits than its factorization.

1011002432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130587 (or 130566 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1011002432 is about 31796.2644346785. The cubic root of 1011002432 is about 1003.6541085601.

Adding to 1011002432 its reverse (2342001101), we get a palindrome (3353003533).

The spelling of 1011002432 in words is "one billion, eleven million, two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 130553 261106 522212 1044424 1436083 2088848 2872166 4177696 5744332 8355392 11488664 15796913 22977328 31593826 45954656 63187652 91909312 126375304 252750608 505501216 1011002432