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428607945 = 32513017321
BaseRepresentation
bin11001100011000…
…000100111001001
31002212111112120100
4121203000213021
51334210423240
6110310320013
713423051563
oct3143004711
91085445510
10428607945
111aaa35547
12bb659009
136aa49a8c
1440cd0333
1527964e30
hex198c09c9

428607945 has 24 divisors (see below), whose sum is σ = 743593032. Its totient is φ = 228384000.

The previous prime is 428607941. The next prime is 428607997. The reversal of 428607945 is 549706824.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 76370121 + 352237824 = 8739^2 + 18768^2 .

It is not a de Polignac number, because 428607945 - 22 = 428607941 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 428607945.

It is not an unprimeable number, because it can be changed into a prime (428607941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54885 + ... + 62205.

It is an arithmetic number, because the mean of its divisors is an integer number (30983043).

Almost surely, 2428607945 is an apocalyptic number.

428607945 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

428607945 is a deficient number, since it is larger than the sum of its proper divisors (314985087).

428607945 is a wasteful number, since it uses less digits than its factorization.

428607945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8633 (or 8630 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 428607945 is about 20702.8487170244. The cubic root of 428607945 is about 753.9688538849.

It can be divided in two parts, 42860 and 7945, that added together give a palindrome (50805).

The spelling of 428607945 in words is "four hundred twenty-eight million, six hundred seven thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 45 1301 3903 6505 7321 11709 19515 21963 36605 58545 65889 109815 329445 9524621 28573863 47623105 85721589 142869315 428607945