Search a number
-
+
468485880 = 233531312473
BaseRepresentation
bin11011111011001…
…000011011111000
31012122112112210220
4123323020123320
51424413022010
6114253140040
714416031022
oct3373103370
91178475726
10468485880
112204a2415
12110a8a620
137609cba5
1446311012
152b1e0970
hex1bec86f8

468485880 has 64 divisors (see below), whose sum is σ = 1410060960. Its totient is φ = 124520448.

The previous prime is 468485867. The next prime is 468485891. The reversal of 468485880 is 88584864.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 31324 + ... + 43796.

Almost surely, 2468485880 is an apocalyptic number.

468485880 is a gapful number since it is divisible by the number (40) 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 468485880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705030480).

468485880 is an abundant number, since it is smaller than the sum of its proper divisors (941575080).

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

468485880 is a wasteful number, since it uses less digits than its factorization.

468485880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12800 (or 12796 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 51.

The square root of 468485880 is about 21644.5346450322. The cubic root of 468485880 is about 776.6622000107.

The spelling of 468485880 in words is "four hundred sixty-eight million, four hundred eighty-five thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 313 626 939 1252 1565 1878 2504 3130 3756 4695 6260 7512 9390 12473 12520 18780 24946 37419 37560 49892 62365 74838 99784 124730 149676 187095 249460 299352 374190 498920 748380 1496760 3904049 7808098 11712147 15616196 19520245 23424294 31232392 39040490 46848588 58560735 78080980 93697176 117121470 156161960 234242940 468485880