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1424646468 = 223474491399
BaseRepresentation
bin101010011101010…
…0110000101000100
310200021201112120000
41110322212011010
510404202141333
6353211041300
750206203150
oct12472460504
93607645500
101424646468
116711a2a83
12339140230
131991caa9b
14d72ca060
1585112713
hex54ea6144

1424646468 has 120 divisors (see below), whose sum is σ = 4268880000. Its totient is φ = 405844992.

The previous prime is 1424646463. The next prime is 1424646481. The reversal of 1424646468 is 8646464241.

1424646468 is a `hidden beast` number, since 142 + 4 + 6 + 46 + 468 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1424646463) 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 39 ways as a sum of consecutive naturals, for example, 1017633 + ... + 1019031.

It is an arithmetic number, because the mean of its divisors is an integer number (35574000).

Almost surely, 21424646468 is an apocalyptic number.

1424646468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1424646468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134440000).

1424646468 is an abundant number, since it is smaller than the sum of its proper divisors (2844233532).

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

1424646468 is a wasteful number, since it uses less digits than its factorization.

1424646468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871 (or 1860 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 1424646468 is about 37744.4892401527. The cubic root of 1424646468 is about 1125.2154893879.

The spelling of 1424646468 in words is "one billion, four hundred twenty-four million, six hundred forty-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 449 567 756 898 1134 1347 1399 1796 2268 2694 2798 3143 4041 4197 5388 5596 6286 8082 8394 9429 9793 12123 12572 12591 16164 16788 18858 19586 24246 25182 28287 29379 36369 37716 37773 39172 48492 50364 56574 58758 72738 75546 84861 88137 113148 113319 117516 145476 151092 169722 176274 226638 254583 264411 339444 352548 453276 509166 528822 628151 793233 1018332 1057644 1256302 1586466 1884453 2512604 3172932 3768906 4397057 5653359 7537812 8794114 11306718 13191171 16960077 17588228 22613436 26382342 33920154 39573513 50880231 52764684 67840308 79147026 101760462 118720539 158294052 203520924 237441078 356161617 474882156 712323234 1424646468