Search a number
-
+
485376320 = 265111310607
BaseRepresentation
bin11100111011100…
…100000101000000
31020211022200010202
4130323210011000
51443224020240
6120055144332
715012426212
oct3473440500
91224280122
10485376320
11229a89460
121166750a8
1379734b30
144866a5b2
152c92a315
hex1cee4140

485376320 has 112 divisors (see below), whose sum is σ = 1357993728. Its totient is φ = 162908160.

The previous prime is 485376319. The next prime is 485376361. The reversal of 485376320 is 23673584.

485376320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40457 + ... + 51063.

It is an arithmetic number, because the mean of its divisors is an integer number (12124944).

Almost surely, 2485376320 is an apocalyptic number.

485376320 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 485376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678996864).

485376320 is an abundant number, since it is smaller than the sum of its proper divisors (872617408).

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

485376320 is a wasteful number, since it uses less digits than its factorization.

485376320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10648 (or 10638 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The square root of 485376320 is about 22031.2577943249. The cubic root of 485376320 is about 785.8859566014.

The spelling of 485376320 in words is "four hundred eighty-five million, three hundred seventy-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 130 143 160 176 208 220 260 286 320 352 416 440 520 572 704 715 832 880 1040 1144 1430 1760 2080 2288 2860 3520 4160 4576 5720 9152 10607 11440 21214 22880 42428 45760 53035 84856 106070 116677 137891 169712 212140 233354 275782 339424 424280 466708 551564 583385 678848 689455 848560 933416 1103128 1166770 1378910 1516801 1697120 1866832 2206256 2333540 2757820 3033602 3394240 3733664 4412512 4667080 5515640 6067204 7467328 7584005 8825024 9334160 11031280 12134408 15168010 18668320 22062560 24268816 30336020 37336640 44125120 48537632 60672040 97075264 121344080 242688160 485376320