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428835090 = 235314571009
BaseRepresentation
bin11001100011111…
…000000100010010
31002212221002011010
4121203320010102
51334240210330
6110315231350
713425016035
oct3143700422
91085832133
10428835090
11200080172
12bb748556
136aac9298
1440d4d01c
15279ac3b0
hex198f8112

428835090 has 64 divisors (see below), whose sum is σ = 1065784320. Its totient is φ = 110315520.

The previous prime is 428835079. The next prime is 428835091. The reversal of 428835090 is 90538824.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (428835091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424506 + ... + 425514.

It is an arithmetic number, because the mean of its divisors is an integer number (16652880).

Almost surely, 2428835090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428835090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532892160).

428835090 is an abundant number, since it is smaller than the sum of its proper divisors (636949230).

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

428835090 is a wasteful number, since it uses less digits than its factorization.

428835090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507.

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 428835090 is about 20708.3338296445. Note that the first 3 decimals coincide. The cubic root of 428835090 is about 754.1020214355.

The spelling of 428835090 in words is "four hundred twenty-eight million, eight hundred thirty-five thousand, ninety".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 457 465 914 930 1009 1371 2018 2285 2742 3027 4570 5045 6054 6855 10090 13710 14167 15135 28334 30270 31279 42501 62558 70835 85002 93837 141670 156395 187674 212505 312790 425010 461113 469185 922226 938370 1383339 2305565 2766678 4611130 6916695 13833390 14294503 28589006 42883509 71472515 85767018 142945030 214417545 428835090