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642303246 = 2313193471249
BaseRepresentation
bin100110010010001…
…100010100001110
31122202121101102010
4212102030110032
52303412200441
6143422442050
721626326134
oct4622142416
91582541363
10642303246
112aa621a32
1215b133326
13a30ba8c0
1461439754
153b5c7116
hex2648c50e

642303246 has 64 divisors (see below), whose sum is σ = 1461600000. Its totient is φ = 186541056.

The previous prime is 642303241. The next prime is 642303247.

It is a happy number.

642303246 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642303241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 513630 + ... + 514878.

It is an arithmetic number, because the mean of its divisors is an integer number (22837500).

Almost surely, 2642303246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642303246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730800000).

642303246 is an abundant number, since it is smaller than the sum of its proper divisors (819296754).

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

642303246 is a wasteful number, since it uses less digits than its factorization.

642303246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633.

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 642303246 is about 25343.7022946530. The cubic root of 642303246 is about 862.8064285694.

It can be divided in two parts, 64230 and 3246, that added together give a palindrome (67476).

The spelling of 642303246 in words is "six hundred forty-two million, three hundred three thousand, two hundred forty-six".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 347 494 694 741 1041 1249 1482 2082 2498 3747 4511 6593 7494 9022 13186 13533 16237 19779 23731 27066 32474 39558 47462 48711 71193 85709 97422 142386 171418 257127 308503 433403 514254 617006 866806 925509 1300209 1851018 2600418 5634239 8234657 11268478 16469314 16902717 24703971 33805434 49407942 107050541 214101082 321151623 642303246