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428039720 = 23511539281
BaseRepresentation
bin11001100000110…
…101111000101000
31002211102200002222
4121200311320220
51334034232340
6110250213212
713415164133
oct3140657050
91084380088
10428039720
111aa687639
12bb424208
136a8ab254
1440bc321a
15278a18b5
hex19835e28

428039720 has 32 divisors (see below), whose sum is σ = 964028520. Its totient is φ = 171048960.

The previous prime is 428039693. The next prime is 428039737. The reversal of 428039720 is 27930824.

It can be written as a sum of positive squares in 4 ways, for example, as 425101924 + 2937796 = 20618^2 + 1714^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41480 + ... + 50760.

Almost surely, 2428039720 is an apocalyptic number.

428039720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428039720 is an abundant number, since it is smaller than the sum of its proper divisors (535988800).

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

428039720 is a wasteful number, since it uses less digits than its factorization.

428039720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10445 (or 10441 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 428039720 is about 20689.1208126397. The cubic root of 428039720 is about 753.6355162947.

The spelling of 428039720 in words is "four hundred twenty-eight million, thirty-nine thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1153 2306 4612 5765 9224 9281 11530 18562 23060 37124 46120 46405 74248 92810 185620 371240 10700993 21401986 42803972 53504965 85607944 107009930 214019860 428039720