Search a number
-
+
542766906 = 23411541563
BaseRepresentation
bin100000010110011…
…111011100111010
31101211022102020000
4200112133130322
52102422020111
6125505213430
716310304543
oct4026373472
91354272200
10542766906
112594178a0
12131931276
13885aa166
14521294ca
15329b4c56
hex2059f73a

542766906 has 80 divisors (see below), whose sum is σ = 1331576928. Its totient is φ = 163879200.

The previous prime is 542766883. The next prime is 542766937. The reversal of 542766906 is 609667245.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 963781 + ... + 964343.

Almost surely, 2542766906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542766906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665788464).

542766906 is an abundant number, since it is smaller than the sum of its proper divisors (788810022).

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

542766906 is a wasteful number, since it uses less digits than its factorization.

542766906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 542766906 is about 23297.3583481046. The cubic root of 542766906 is about 815.7137566511.

The spelling of 542766906 in words is "five hundred forty-two million, seven hundred sixty-six thousand, nine hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 541 563 594 891 1082 1126 1623 1689 1782 3246 3378 4869 5067 5951 6193 9738 10134 11902 12386 14607 15201 17853 18579 29214 30402 35706 37158 43821 45603 53559 55737 87642 91206 107118 111474 160677 167211 304583 321354 334422 482031 501633 609166 913749 964062 1003266 1827498 2741247 3350413 5482494 6700826 8223741 10051239 16447482 20102478 24671223 30153717 49342446 60307434 90461151 180922302 271383453 542766906