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642449394 = 23419316733
BaseRepresentation
bin100110010010101…
…111111111110010
31122202212210220000
4212102233333302
52303431340034
6143425530430
721630505206
oct4622577762
91582783800
10642449394
112aa711814
1215b1a3a16
13a313c292
1461476b06
153b605599
hex264afff2

642449394 has 80 divisors (see below), whose sum is σ = 1564442880. Its totient is φ = 196305120.

The previous prime is 642449359. The next prime is 642449417. The reversal of 642449394 is 493944246.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92052 + ... + 98784.

It is an arithmetic number, because the mean of its divisors is an integer number (19555536).

Almost surely, 2642449394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642449394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782221440).

642449394 is an abundant number, since it is smaller than the sum of its proper divisors (921993486).

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

642449394 is a wasteful number, since it uses less digits than its factorization.

642449394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6797 (or 6788 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 642449394 is about 25346.5854505099. The cubic root of 642449394 is about 862.8718638458.

The spelling of 642449394 in words is "six hundred forty-two million, four hundred forty-nine thousand, three hundred ninety-four".

Divisors: 1 2 3 6 9 18 19 27 31 38 54 57 62 81 93 114 162 171 186 279 342 513 558 589 837 1026 1178 1539 1674 1767 2511 3078 3534 5022 5301 6733 10602 13466 15903 20199 31806 40398 47709 60597 95418 121194 127927 181791 208723 255854 363582 383781 417446 545373 626169 767562 1090746 1151343 1252338 1878507 2302686 3454029 3757014 3965737 5635521 6908058 7931474 10362087 11271042 11897211 16906563 20724174 23794422 33813126 35691633 71383266 107074899 214149798 321224697 642449394