Search a number
-
+
642443670 = 233511297459
BaseRepresentation
bin100110010010101…
…110100110010110
31122202212112001000
4212102232212112
52303431144140
6143425444130
721630452421
oct4622564626
91582775030
10642443670
112aa708490
1215b1a0646
13a31397ab
14614749b8
153b603a30
hex264ae996

642443670 has 128 divisors (see below), whose sum is σ = 1933632000. Its totient is φ = 150353280.

The previous prime is 642443653. The next prime is 642443671. The reversal of 642443670 is 76344246.

642443670 is a `hidden beast` number, since 642 + 4 + 4 + 3 + 6 + 7 + 0 = 666.

642443670 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642443671) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82401 + ... + 89859.

It is an arithmetic number, because the mean of its divisors is an integer number (15106500).

Almost surely, 2642443670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642443670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966816000).

642443670 is an abundant number, since it is smaller than the sum of its proper divisors (1291188330).

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

642443670 is a wasteful number, since it uses less digits than its factorization.

642443670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7515 (or 7509 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 642443670 is about 25346.4725356409. The cubic root of 642443670 is about 862.8693012090.

The spelling of 642443670 in words is "six hundred forty-two million, four hundred forty-three thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 29 30 33 45 54 55 58 66 87 90 99 110 135 145 165 174 198 261 270 290 297 319 330 435 495 522 594 638 783 870 957 990 1305 1485 1566 1595 1914 2610 2871 2970 3190 3915 4785 5742 7459 7830 8613 9570 14355 14918 17226 22377 28710 37295 43065 44754 67131 74590 82049 86130 111885 134262 164098 201393 216311 223770 246147 335655 402786 410245 432622 492294 648933 671310 738441 820490 1006965 1081555 1230735 1297866 1476882 1946799 2013930 2163110 2215323 2379421 2461470 3244665 3692205 3893598 4430646 4758842 5840397 6489330 7138263 7384410 9733995 11076615 11680794 11897105 14276526 19467990 21414789 22153230 23794210 29201985 35691315 42829578 58403970 64244367 71382630 107073945 128488734 214147890 321221835 642443670