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3849494800 = 245229378969
BaseRepresentation
bin1110010101110010…
…1010000100010000
3100221021111121010111
43211130222010100
530340432313200
61433552011104
7164252110624
oct34534520420
910837447114
103849494800
1116a5a37468
128b5230a94
134946a6898
14287377184
15177e460ba
hexe572a110

3849494800 has 120 divisors (see below), whose sum is σ = 9826993800. Its totient is φ = 1446359040.

The previous prime is 3849494777. The next prime is 3849494801. The reversal of 3849494800 is 84949483.

It can be written as a sum of positive squares in 12 ways, for example, as 295427344 + 3554067456 = 17188^2 + 59616^2 .

It is a super-2 number, since 2×38494948002 = 29637220430454080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3849494801) 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, 424716 + ... + 433684.

It is an arithmetic number, because the mean of its divisors is an integer number (81891615).

Almost surely, 23849494800 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 3849494800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4913496900).

3849494800 is an abundant number, since it is smaller than the sum of its proper divisors (5977499000).

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

3849494800 is a wasteful number, since it uses less digits than its factorization.

3849494800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9053 (or 9042 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

The square root of 3849494800 is about 62044.2970787807. The cubic root of 3849494800 is about 1567.2366499050.

The spelling of 3849494800 in words is "three billion, eight hundred forty-nine million, four hundred ninety-four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 37 40 50 58 74 80 100 116 145 148 185 200 232 290 296 370 400 464 580 592 725 740 925 1073 1160 1450 1480 1850 2146 2320 2900 2960 3700 4292 5365 5800 7400 8584 8969 10730 11600 14800 17168 17938 21460 26825 35876 42920 44845 53650 71752 85840 89690 107300 143504 179380 214600 224225 260101 331853 358760 429200 448450 520202 663706 717520 896900 1040404 1300505 1327412 1659265 1793800 2080808 2601010 2654824 3318530 3587600 4161616 5202020 5309648 6502525 6637060 8296325 9623737 10404040 13005050 13274120 16592650 19247474 20808080 26010100 26548240 33185300 38494948 48118685 52020200 66370600 76989896 96237370 104040400 132741200 153979792 192474740 240593425 384949480 481186850 769898960 962373700 1924747400 3849494800