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428687500 = 2256193
BaseRepresentation
bin11001100011010…
…100000010001100
31002212122120200211
4121203110002030
51334221000000
6110312132204
713423532533
oct3143240214
91085576624
10428687500
111aaa8a29a
12bb697064
136aa77057
1440d1131a
152797d7ba
hex198d408c

428687500 has 84 divisors (see below), whose sum is σ = 989831080. Its totient is φ = 162450000.

The previous prime is 428687491. The next prime is 428687503. The reversal of 428687500 is 5786824.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not an unprimeable number, because it can be changed into a prime (428687503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 22562491 + ... + 22562509.

Almost surely, 2428687500 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 428687500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494915540).

428687500 is an abundant number, since it is smaller than the sum of its proper divisors (561143580).

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

428687500 is an frugal number, since it uses more digits than its factorization.

428687500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 428687500 is about 20704.7699818182. The cubic root of 428687500 is about 754.0154996849.

The spelling of 428687500 in words is "four hundred twenty-eight million, six hundred eighty-seven thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 125 190 250 361 380 475 500 625 722 950 1250 1444 1805 1900 2375 2500 3125 3610 4750 6250 6859 7220 9025 9500 11875 12500 13718 15625 18050 23750 27436 31250 34295 36100 45125 47500 59375 62500 68590 90250 118750 137180 171475 180500 225625 237500 296875 342950 451250 593750 685900 857375 902500 1128125 1187500 1714750 2256250 3429500 4286875 4512500 5640625 8573750 11281250 17147500 21434375 22562500 42868750 85737500 107171875 214343750 428687500