Search a number
-
+
642263440 = 24571388223
BaseRepresentation
bin100110010010000…
…010100110010000
31122202112100210211
4212102002212100
52303404412230
6143421533504
721626102110
oct4622024620
91582470724
10642263440
112aa5a5035
1215b114294
13a30a5750
1461429040
153b5ba42a
hex26482990

642263440 has 80 divisors (see below), whose sum is σ = 1837882368. Its totient is φ = 203263488.

The previous prime is 642263429. The next prime is 642263459. The reversal of 642263440 is 44362246.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36832 + ... + 51391.

Almost surely, 2642263440 is an apocalyptic number.

It is an amenable number.

642263440 is an abundant number, since it is smaller than the sum of its proper divisors (1195618928).

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

642263440 is a wasteful number, since it uses less digits than its factorization.

642263440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88256 (or 88250 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

The square root of 642263440 is about 25342.9169591821. The cubic root of 642263440 is about 862.7886043914.

The spelling of 642263440 in words is "six hundred forty-two million, two hundred sixty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 88223 176446 352892 441115 617561 705784 882230 1146899 1235122 1411568 1764460 2293798 2470244 3087805 3528920 4587596 4940488 5734495 6175610 7057840 8028293 9175192 9880976 11468990 12351220 16056586 18350384 22937980 24702440 32113172 40141465 45875960 49404880 64226344 80282930 91751920 128452688 160565860 321131720 642263440