Search a number
-
+
469285008 = 24323715987
BaseRepresentation
bin11011111110001…
…011100010010000
31012201001011000020
4123332023202100
51430114110013
6114322223440
714425566603
oct3376134220
91181034006
10469285008
11220998855
121111b4b80
13762bc84a
144647c33a
152b2ec623
hex1bf8b890

469285008 has 80 divisors (see below), whose sum is σ = 1283060736. Its totient is φ = 147495040.

The previous prime is 469285007. The next prime is 469285013. The reversal of 469285008 is 800582964.

It is not an unprimeable number, because it can be changed into a prime (469285007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75391 + ... + 81377.

Almost surely, 2469285008 is an apocalyptic number.

469285008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 469285008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641530368).

469285008 is an abundant number, since it is smaller than the sum of its proper divisors (813775728).

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

469285008 is a wasteful number, since it uses less digits than its factorization.

469285008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6092 (or 6086 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 469285008 is about 21662.9870516510. The cubic root of 469285008 is about 777.1035508780.

The spelling of 469285008 in words is "four hundred sixty-nine million, two hundred eighty-five thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 71 92 138 142 184 213 276 284 368 426 552 568 852 1104 1136 1633 1704 3266 3408 4899 5987 6532 9798 11974 13064 17961 19596 23948 26128 35922 39192 47896 71844 78384 95792 137701 143688 275402 287376 413103 425077 550804 826206 850154 1101608 1275231 1652412 1700308 2203216 2550462 3304824 3400616 5100924 6609648 6801232 9776771 10201848 19553542 20403696 29330313 39107084 58660626 78214168 117321252 156428336 234642504 469285008