Search a number
-
+
4944739000 = 2353171811607
BaseRepresentation
bin1001001101011101…
…01011101010111000
3110202121101202201111
410212232223222320
540111323122000
62134354530104
7233351405455
oct44656535270
913677352644
104944739000
1121081a3663
12b5bb96934
1360a580986
1434c9d882c
151de18ccba
hex126babab8

4944739000 has 128 divisors (see below), whose sum is σ = 12326670720. Its totient is φ = 1850112000.

The previous prime is 4944738971. The next prime is 4944739001. The reversal of 4944739000 is 9374494.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4944739001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3076197 + ... + 3077803.

It is an arithmetic number, because the mean of its divisors is an integer number (96302115).

Almost surely, 24944739000 is an apocalyptic number.

4944739000 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 4944739000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6163335360).

4944739000 is an abundant number, since it is smaller than the sum of its proper divisors (7381931720).

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

4944739000 is a wasteful number, since it uses less digits than its factorization.

4944739000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 4944739000 is about 70318.8381587751. The cubic root of 4944739000 is about 1703.6529293428.

The spelling of 4944739000 in words is "four billion, nine hundred forty-four million, seven hundred thirty-nine thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 181 200 250 340 362 425 500 680 724 850 905 1000 1448 1607 1700 1810 2125 3077 3214 3400 3620 4250 4525 6154 6428 7240 8035 8500 9050 12308 12856 15385 16070 17000 18100 22625 24616 27319 30770 32140 36200 40175 45250 54638 61540 64280 76925 80350 90500 109276 123080 136595 153850 160700 181000 200875 218552 273190 290867 307700 321400 384625 401750 546380 581734 615400 682975 769250 803500 1092760 1163468 1365950 1454335 1538500 1607000 2326936 2731900 2908670 3077000 3414875 4944739 5463800 5817340 6829750 7271675 9889478 11634680 13659500 14543350 19778956 24723695 27319000 29086700 36358375 39557912 49447390 58173400 72716750 98894780 123618475 145433500 197789560 247236950 290867000 494473900 618092375 988947800 1236184750 2472369500 4944739000