Search a number
-
+
470000672 = 25311014691
BaseRepresentation
bin11100000000111…
…010010000100000
31012202101111201022
4130000322100200
51430310010142
6114345425012
714434640231
oct3400722040
91182344638
10470000672
11221337509
1211149b168
13764b050b
14465c7088
152b3de6d2
hex1c03a420

470000672 has 48 divisors (see below), whose sum is σ = 964825344. Its totient is φ = 225120000.

The previous prime is 470000647. The next prime is 470000689. The reversal of 470000672 is 276000074.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97847 + ... + 102537.

It is an arithmetic number, because the mean of its divisors is an integer number (20100528).

Almost surely, 2470000672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470000672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482412672).

470000672 is an abundant number, since it is smaller than the sum of its proper divisors (494824672).

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

470000672 is a wasteful number, since it uses less digits than its factorization.

470000672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4833 (or 4825 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 470000672 is about 21679.4988871976. The cubic root of 470000672 is about 777.4983802863.

The spelling of 470000672 in words is "four hundred seventy million, six hundred seventy-two", and thus it is an aban number.

Divisors: 1 2 4 8 16 31 32 62 101 124 202 248 404 496 808 992 1616 3131 3232 4691 6262 9382 12524 18764 25048 37528 50096 75056 100192 145421 150112 290842 473791 581684 947582 1163368 1895164 2326736 3790328 4653472 7580656 14687521 15161312 29375042 58750084 117500168 235000336 470000672