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1429944048 = 243213763859
BaseRepresentation
bin101010100111011…
…0011011011110000
310200122200200110200
41111032303123300
510412031202143
6353520355200
750302216041
oct12516633360
93618620420
101429944048
11674191145
1233aa75b00
1319a334150
14d7ca88c8
158580c1d3
hex553b36f0

1429944048 has 60 divisors (see below), whose sum is σ = 4309698120. Its totient is φ = 439982208.

The previous prime is 1429944023. The next prime is 1429944053. The reversal of 1429944048 is 8404499241.

It is a junction number, because it is equal to n+sod(n) for n = 1429943994 and 1429944012.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 380058 + ... + 383801.

It is an arithmetic number, because the mean of its divisors is an integer number (71828302).

Almost surely, 21429944048 is an apocalyptic number.

1429944048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1429944048 is an abundant number, since it is smaller than the sum of its proper divisors (2879754072).

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

1429944048 is a wasteful number, since it uses less digits than its factorization.

1429944048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763886 (or 763877 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 1429944048 is about 37814.6009895649. The cubic root of 1429944048 is about 1126.6084772456.

The spelling of 1429944048 in words is "one billion, four hundred twenty-nine million, nine hundred forty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 763859 1527718 2291577 3055436 4583154 6110872 6874731 9166308 9930167 12221744 13749462 18332616 19860334 27498924 29790501 36665232 39720668 54997848 59581002 79441336 89371503 109995696 119162004 158882672 178743006 238324008 357486012 476648016 714972024 1429944048