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490294680 = 233523401443
BaseRepresentation
bin11101001110010…
…100110110011000
31021011120112212020
4131032110312120
52001003412210
6120352414440
715102302361
oct3516246630
91234515766
10490294680
11231838717
12118247420
137a7676c5
144918ab68
152d09c770
hex1d394d98

490294680 has 128 divisors (see below), whose sum is σ = 1542136320. Its totient is φ = 124467200.

The previous prime is 490294631. The next prime is 490294697. The reversal of 490294680 is 86492094.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1106539 + ... + 1106981.

It is an arithmetic number, because the mean of its divisors is an integer number (12047940).

Almost surely, 2490294680 is an apocalyptic number.

490294680 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 490294680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771068160).

490294680 is an abundant number, since it is smaller than the sum of its proper divisors (1051841640).

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

490294680 is a wasteful number, since it uses less digits than its factorization.

490294680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 490294680 is about 22142.5987634695. The cubic root of 490294680 is about 788.5315240332.

The spelling of 490294680 in words is "four hundred ninety million, two hundred ninety-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 401 443 460 552 690 802 886 920 1203 1329 1380 1604 1772 2005 2215 2406 2658 2760 3208 3544 4010 4430 4812 5316 6015 6645 8020 8860 9223 9624 10189 10632 12030 13290 16040 17720 18446 20378 24060 26580 27669 30567 36892 40756 46115 48120 50945 53160 55338 61134 73784 81512 92230 101890 110676 122268 138345 152835 177643 184460 203780 221352 244536 276690 305670 355286 368920 407560 532929 553380 611340 710572 888215 1065858 1106760 1222680 1421144 1776430 2131716 2664645 3552860 4085789 4263432 5329290 7105720 8171578 10658580 12257367 16343156 20428945 21317160 24514734 32686312 40857890 49029468 61286835 81715780 98058936 122573670 163431560 245147340 490294680