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494946180 = 223354432069
BaseRepresentation
bin11101100000000…
…100011110000100
31021111022212112000
4131200010132010
52003201234210
6121040225300
715156654531
oct3540043604
91244285460
10494946180
11234425433
1211990b230
137b705981
1449a3bd88
152d6baac0
hex1d804784

494946180 has 96 divisors (see below), whose sum is σ = 1544054400. Its totient is φ = 131624064.

The previous prime is 494946163. The next prime is 494946187. The reversal of 494946180 is 81649494.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (494946187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238186 + ... + 240254.

It is an arithmetic number, because the mean of its divisors is an integer number (16083900).

Almost surely, 2494946180 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 494946180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772027200).

494946180 is an abundant number, since it is smaller than the sum of its proper divisors (1049108220).

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

494946180 is a wasteful number, since it uses less digits than its factorization.

494946180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530 (or 2522 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 494946180 is about 22247.3859138551. The cubic root of 494946180 is about 791.0173188831.

The spelling of 494946180 in words is "four hundred ninety-four million, nine hundred forty-six thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 443 540 886 1329 1772 2069 2215 2658 3987 4138 4430 5316 6207 6645 7974 8276 8860 10345 11961 12414 13290 15948 18621 19935 20690 23922 24828 26580 31035 37242 39870 41380 47844 55863 59805 62070 74484 79740 93105 111726 119610 124140 186210 223452 239220 279315 372420 558630 916567 1117260 1833134 2749701 3666268 4582835 5499402 8249103 9165670 10998804 13748505 16498206 18331340 24747309 27497010 32996412 41245515 49494618 54994020 82491030 98989236 123736545 164982060 247473090 494946180