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642014244 = 22324121032
BaseRepresentation
bin100110010001000…
…101110000100100
31122202001200222100
4212101011300210
52303323423434
6143412332100
721624013434
oct4621056044
91582050870
10642014244
112aa444893
1215b014030
13a30191b1
14613a22c4
153b56b699
hex26445c24

642014244 has 81 divisors (see below), whose sum is σ = 1679723409. Its totient is φ = 206758080.

The previous prime is 642014201. The next prime is 642014273. The reversal of 642014244 is 442410246.

It is a happy number.

The square root of 642014244 is 25338.

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

642014244 is a `hidden beast` number, since 642 + 0 + 14 + 2 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30935844 + 611078400 = 5562^2 + 24720^2 .

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 6233097 + ... + 6233199.

Almost surely, 2642014244 is an apocalyptic number.

642014244 is the 25338-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642014244

642014244 is an abundant number, since it is smaller than the sum of its proper divisors (1037709165).

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

642014244 is a wasteful number, since it uses less digits than its factorization.

642014244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The cubic root of 642014244 is about 862.6770036221.

The spelling of 642014244 in words is "six hundred forty-two million, fourteen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 103 123 164 206 246 309 369 412 492 618 738 927 1236 1476 1681 1854 3362 3708 4223 5043 6724 8446 10086 10609 12669 15129 16892 20172 21218 25338 30258 31827 38007 42436 50676 60516 63654 76014 95481 127308 152028 173143 190962 346286 381924 434969 519429 692572 869938 1038858 1304907 1558287 1739876 2077716 2609814 3116574 3914721 5219628 6233148 7829442 15658884 17833729 35667458 53501187 71334916 107002374 160503561 214004748 321007122 642014244