Search a number
-
+
427292980 = 225414711087
BaseRepresentation
bin11001011101111…
…111100100110100
31002210000201202221
4121131333210310
51333341333410
6110222212124
713405634062
oct3135774464
91083021687
10427292980
111aa2175a4
12bb124044
136a6a93aa
1440a6b032
15277a54da
hex1977f934

427292980 has 48 divisors (see below), whose sum is σ = 938843136. Its totient is φ = 163185920.

The previous prime is 427292951. The next prime is 427293001. The reversal of 427292980 is 89292724.

It is a congruent number.

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, 32997 + ... + 44083.

It is an arithmetic number, because the mean of its divisors is an integer number (19559232).

Almost surely, 2427292980 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 427292980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469421568).

427292980 is an abundant number, since it is smaller than the sum of its proper divisors (511550156).

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

427292980 is a wasteful number, since it uses less digits than its factorization.

427292980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11184 (or 11182 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 427292980 is about 20671.0662521313. The cubic root of 427292980 is about 753.1970076407.

The spelling of 427292980 in words is "four hundred twenty-seven million, two hundred ninety-two thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 41 47 82 94 164 188 205 235 410 470 820 940 1927 3854 7708 9635 11087 19270 22174 38540 44348 55435 110870 221740 454567 521089 909134 1042178 1818268 2084356 2272835 2605445 4545670 5210890 9091340 10421780 21364649 42729298 85458596 106823245 213646490 427292980