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642275620 = 225719892713
BaseRepresentation
bin100110010010000…
…101100100100100
31122202112222111221
4212102011210210
52303410304440
6143422110124
721626152450
oct4622054444
91582488457
10642275620
112aa6031a8
1215b11b344
13a30ab15c
146142d660
153b5bdd4a
hex26485924

642275620 has 96 divisors (see below), whose sum is σ = 1641427200. Its totient is φ = 206198784.

The previous prime is 642275597. The next prime is 642275653. The reversal of 642275620 is 26572246.

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 31 ways as a sum of consecutive naturals, for example, 235384 + ... + 238096.

It is an arithmetic number, because the mean of its divisors is an integer number (17098200).

Almost surely, 2642275620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642275620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820713600).

642275620 is an abundant number, since it is smaller than the sum of its proper divisors (999151580).

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

642275620 is a wasteful number, since it uses less digits than its factorization.

642275620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837 (or 2835 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 642275620 is about 25343.1572618725. The cubic root of 642275620 is about 862.7940583833.

The spelling of 642275620 in words is "six hundred forty-two million, two hundred seventy-five thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 89 95 133 140 178 190 266 356 380 445 532 623 665 890 1246 1330 1691 1780 2492 2660 2713 3115 3382 5426 6230 6764 8455 10852 11837 12460 13565 16910 18991 23674 27130 33820 37982 47348 51547 54260 59185 75964 94955 103094 118370 189910 206188 236740 241457 257735 360829 379820 482914 515470 721658 965828 1030940 1207285 1443316 1690199 1804145 2414570 3380398 3608290 4587683 4829140 6760796 7216580 8450995 9175366 16901990 18350732 22938415 32113781 33803980 45876830 64227562 91753660 128455124 160568905 321137810 642275620