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642439818 = 232192325367
BaseRepresentation
bin100110010010101…
…101101010001010
31122202212022202100
4212102231222022
52303431033233
6143425414230
721630435246
oct4622555212
91582768670
10642439818
112aa7055a9
1215b19a376
13a3137b07
1461473426
153b602813
hex264ada8a

642439818 has 144 divisors (see below), whose sum is σ = 1583880480. Its totient is φ = 187551936.

The previous prime is 642439807. The next prime is 642439829. The reversal of 642439818 is 818934246.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (642439807) and next prime (642439829).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9588621 + ... + 9588687.

It is an arithmetic number, because the mean of its divisors is an integer number (10999170).

Almost surely, 2642439818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642439818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791940240).

642439818 is an abundant number, since it is smaller than the sum of its proper divisors (941440662).

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

642439818 is a wasteful number, since it uses less digits than its factorization.

642439818 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 167 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 642439818 is about 25346.3965486221. The cubic root of 642439818 is about 862.8675766588.

The spelling of 642439818 in words is "six hundred forty-two million, four hundred thirty-nine thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 18 19 23 38 46 53 57 67 69 106 114 134 138 159 171 201 207 318 342 402 414 437 477 529 603 874 954 1007 1058 1206 1219 1273 1311 1541 1587 2014 2438 2546 2622 3021 3082 3174 3551 3657 3819 3933 4623 4761 6042 7102 7314 7638 7866 9063 9246 9522 10051 10653 10971 11457 13869 18126 20102 21306 21942 22914 23161 27738 28037 29279 30153 31959 35443 46322 56074 58558 60306 63918 67469 69483 70886 81673 84111 87837 90459 106329 134938 138966 163346 168222 175674 180918 202407 208449 212658 245019 252333 263511 318987 404814 416898 490038 504666 527022 532703 607221 637974 673417 735057 1065406 1214442 1346834 1470114 1551787 1598109 1878479 2020251 3103574 3196218 3756958 4040502 4655361 4794327 5635437 6060753 9310722 9588654 11270874 12121506 13966083 16906311 27932166 33812622 35691101 71382202 107073303 214146606 321219909 642439818