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1424384850 = 235275872311
BaseRepresentation
bin101010011100110…
…0110001101010010
310200021020020200110
41110321212031102
510404120303400
6353201302150
750204033340
oct12471461522
93607206613
101424384850
11671034469
12339034956
13199138995
14d725c990
15850aee50
hex54e66352

1424384850 has 96 divisors (see below), whose sum is σ = 4045741056. Its totient is φ = 324878400.

The previous prime is 1424384827. The next prime is 1424384861. The reversal of 1424384850 is 584834241.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1424384799 and 1424384808.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 615195 + ... + 617505.

It is an arithmetic number, because the mean of its divisors is an integer number (42143136).

Almost surely, 21424384850 is an apocalyptic number.

1424384850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1424384850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2022870528).

1424384850 is an abundant number, since it is smaller than the sum of its proper divisors (2621356206).

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

1424384850 is a wasteful number, since it uses less digits than its factorization.

1424384850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 1424384850 is about 37741.0234360437. The cubic root of 1424384850 is about 1125.1466080540.

The spelling of 1424384850 in words is "one billion, four hundred twenty-four million, three hundred eighty-four thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 525 587 1050 1174 1761 2311 2935 3522 4109 4622 5870 6933 8218 8805 11555 12327 13866 14675 16177 17610 20545 23110 24654 29350 32354 34665 41090 44025 48531 57775 61635 69330 80885 88050 97062 102725 115550 123270 161770 173325 205450 242655 308175 346650 404425 485310 616350 808850 1213275 1356557 2426550 2713114 4069671 6782785 8139342 9495899 13565570 18991798 20348355 28487697 33913925 40696710 47479495 56975394 67827850 94958990 101741775 142438485 203483550 237397475 284876970 474794950 712192425 1424384850