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1430049856 = 262921632
BaseRepresentation
bin101010100111100…
…1101010001000000
310200122220001121111
41111033031101000
510412043043411
6353522533104
750303136364
oct12517152100
93618801544
101430049856
11674253694
1233ab07194
1319a370361
14d7cd52a4
158582d721
hex553cd440

1430049856 has 63 divisors (see below), whose sum is σ = 2957124261. Its totient is φ = 686133504.

The previous prime is 1430049851. The next prime is 1430049913. The reversal of 1430049856 is 6589400341.

The square root of 1430049856 is 37816.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 749883456 + 680166400 = 27384^2 + 26080^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1430049851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8773231 + ... + 8773393.

Almost surely, 21430049856 is an apocalyptic number.

1430049856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1430049856 is the 37816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1430049856

1430049856 is an abundant number, since it is smaller than the sum of its proper divisors (1527074405).

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

1430049856 is an frugal number, since it uses more digits than its factorization.

1430049856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The cubic root of 1430049856 is about 1126.6362641719.

The spelling of 1430049856 in words is "one billion, four hundred thirty million, forty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 163 232 326 464 652 841 928 1304 1682 1856 2608 3364 4727 5216 6728 9454 10432 13456 18908 26569 26912 37816 53138 53824 75632 106276 137083 151264 212552 274166 302528 425104 548332 770501 850208 1096664 1541002 1700416 2193328 3082004 4386656 6164008 8773312 12328016 22344529 24656032 44689058 49312064 89378116 178756232 357512464 715024928 1430049856