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2485460400 = 243522937069
BaseRepresentation
bin1001010000100101…
…0001110110110000
320102012211110200220
42110021101312300
520042234213100
61050344013040
7115410031143
oct22411216660
96365743626
102485460400
111065a83205
12594461180
13307c0b537
1419814805a
15e8307aa0
hex94251db0

2485460400 has 120 divisors (see below), whose sum is σ = 7990061520. Its totient is φ = 660433920.

The previous prime is 2485460279. The next prime is 2485460407. The reversal of 2485460400 is 40645842.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (2485460407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348066 + ... + 355134.

It is an arithmetic number, because the mean of its divisors is an integer number (66583846).

Almost surely, 22485460400 is an apocalyptic number.

2485460400 is a gapful number since it is divisible by the number (20) 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 2485460400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3995030760).

2485460400 is an abundant number, since it is smaller than the sum of its proper divisors (5504601120).

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

2485460400 is a wasteful number, since it uses less digits than its factorization.

2485460400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7383 (or 7372 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 2485460400 is about 49854.3919830540. The cubic root of 2485460400 is about 1354.5725879694.

The spelling of 2485460400 in words is "two billion, four hundred eighty-five million, four hundred sixty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 293 300 400 586 600 879 1172 1200 1465 1758 2344 2930 3516 4395 4688 5860 7032 7069 7325 8790 11720 14064 14138 14650 17580 21207 21975 23440 28276 29300 35160 35345 42414 43950 56552 58600 70320 70690 84828 87900 106035 113104 117200 141380 169656 175800 176725 212070 282760 339312 351600 353450 424140 530175 565520 706900 848280 1060350 1413800 1696560 2071217 2120700 2827600 4142434 4241400 6213651 8284868 8482800 10356085 12427302 16569736 20712170 24854604 31068255 33139472 41424340 49709208 51780425 62136510 82848680 99418416 103560850 124273020 155341275 165697360 207121700 248546040 310682550 414243400 497092080 621365100 828486800 1242730200 2485460400