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428678973 = 36588037
BaseRepresentation
bin11001100011010…
…001111100111101
31002212122011000000
4121203101330331
51334220211343
6110312024513
713423465632
oct3143217475
91085564000
10428678973
111aaa83948
12bb692139
136aa731c8
1440d0c189
152797aed3
hex198d1f3d

428678973 has 14 divisors (see below), whose sum is σ = 642725534. Its totient is φ = 285785496.

The previous prime is 428678959. The next prime is 428678983. The reversal of 428678973 is 379876824.

It can be written as a sum of positive squares in only one way, i.e., 270372249 + 158306724 = 16443^2 + 12582^2 .

It is not a de Polignac number, because 428678973 - 214 = 428662589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428678933) 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 13 ways as a sum of consecutive naturals, for example, 293290 + ... + 294747.

Almost surely, 2428678973 is an apocalyptic number.

It is an amenable number.

428678973 is a deficient number, since it is larger than the sum of its proper divisors (214046561).

428678973 is an frugal number, since it uses more digits than its factorization.

428678973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588055 (or 588040 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 428678973 is about 20704.5640620613. The cubic root of 428678973 is about 754.0105002912.

The spelling of 428678973 in words is "four hundred twenty-eight million, six hundred seventy-eight thousand, nine hundred seventy-three".

Divisors: 1 3 9 27 81 243 729 588037 1764111 5292333 15876999 47630997 142892991 428678973