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428849580 = 223567107997
BaseRepresentation
bin11001100011111…
…011100110101100
31002212221211000210
4121203323212230
51334241141310
6110315422420
713425106215
oct3143734654
91085854023
10428849580
11200090045
12bb754a10
136ab02a63
1440d5440c
15279b1820
hex198fb9ac

428849580 has 96 divisors (see below), whose sum is σ = 1231324416. Its totient is φ = 111488256.

The previous prime is 428849579. The next prime is 428849587. The reversal of 428849580 is 85948824.

It is not an unprimeable number, because it can be changed into a prime (428849587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 429642 + ... + 430638.

It is an arithmetic number, because the mean of its divisors is an integer number (12826296).

Almost surely, 2428849580 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 428849580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615662208).

428849580 is an abundant number, since it is smaller than the sum of its proper divisors (802474836).

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

428849580 is a wasteful number, since it uses less digits than its factorization.

428849580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The square root of 428849580 is about 20708.6836858358. The cubic root of 428849580 is about 754.1105148443.

The spelling of 428849580 in words is "four hundred twenty-eight million, eight hundred forty-nine thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 107 134 201 214 268 321 335 402 428 535 642 670 804 997 1005 1070 1284 1340 1605 1994 2010 2140 2991 3210 3988 4020 4985 5982 6420 7169 9970 11964 14338 14955 19940 21507 28676 29910 35845 43014 59820 66799 71690 86028 106679 107535 133598 143380 200397 213358 215070 267196 320037 333995 400794 426716 430140 533395 640074 667990 801588 1001985 1066790 1280148 1335980 1600185 2003970 2133580 3200370 4007940 6400740 7147493 14294986 21442479 28589972 35737465 42884958 71474930 85769916 107212395 142949860 214424790 428849580