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1424385024 = 21033114957
BaseRepresentation
bin101010011100110…
…0110010000000000
310200021020020220220
41110321212100000
510404120310044
6353201303040
750204034006
oct12471462000
93607206826
101424385024
11671034607
12339034a80
13199138a9a
14d725ca76
15850b0019
hex54e66400

1424385024 has 88 divisors (see below), whose sum is σ = 3919235328. Its totient is φ = 459448320.

The previous prime is 1424385023. The next prime is 1424385121. The reversal of 1424385024 is 4205834241.

It is not an unprimeable number, because it can be changed into a prime (1424385023) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 87754 + ... + 102710.

Almost surely, 21424385024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1424385024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959617664).

1424385024 is an abundant number, since it is smaller than the sum of its proper divisors (2494850304).

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

1424385024 is a wasteful number, since it uses less digits than its factorization.

1424385024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15011 (or 14993 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 1424385024 is about 37741.0257412275. The cubic root of 1424385024 is about 1125.1466538692.

The spelling of 1424385024 in words is "one billion, four hundred twenty-four million, three hundred eighty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1024 1488 1536 1984 2976 3072 3968 5952 7936 11904 14957 15872 23808 29914 31744 44871 47616 59828 89742 95232 119656 179484 239312 358968 463667 478624 717936 927334 957248 1391001 1435872 1854668 1914496 2782002 2871744 3709336 3828992 5564004 5743488 7418672 7657984 11128008 11486976 14837344 15315968 22256016 22973952 29674688 44512032 45947904 59349376 89024064 118698752 178048128 237397504 356096256 474795008 712192512 1424385024