Search a number
-
+
428665005 = 325107127701
BaseRepresentation
bin11001100011001…
…110100010101101
31002212121102211200
4121203032202231
51334214240010
6110311440113
713423410126
oct3143164255
91085542750
10428665005
111aaa743aa
12bb686039
136aa69a42
1440d0704d
1527976cc0
hex198ce8ad

428665005 has 48 divisors (see below), whose sum is σ = 756946944. Its totient is φ = 224380800.

The previous prime is 428664989. The next prime is 428665033. The reversal of 428665005 is 500566824.

It is not a de Polignac number, because 428665005 - 24 = 428664989 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 611155 + ... + 611855.

It is an arithmetic number, because the mean of its divisors is an integer number (15769728).

Almost surely, 2428665005 is an apocalyptic number.

428665005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

428665005 is a deficient number, since it is larger than the sum of its proper divisors (328281939).

428665005 is a wasteful number, since it uses less digits than its factorization.

428665005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 428665005 is about 20704.2267423828. The cubic root of 428665005 is about 754.0023106872.

The spelling of 428665005 in words is "four hundred twenty-eight million, six hundred sixty-five thousand, five".

Divisors: 1 3 5 9 15 45 107 127 321 381 535 635 701 963 1143 1605 1905 2103 3505 4815 5715 6309 10515 13589 31545 40767 67945 75007 89027 122301 203835 225021 267081 375035 445135 611505 675063 801243 1125105 1335405 3375315 4006215 9525889 28577667 47629445 85733001 142888335 428665005