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2948421300 = 22352112930809
BaseRepresentation
bin1010111110111101…
…0101011010110100
321121110222022122220
42233233111122310
522014243440200
61204322522340
7133031111316
oct25757253264
97543868586
102948421300
111283341620
126a35063b0
1337cac56b6
141dd81b7b6
15123ca64a0
hexafbd56b4

2948421300 has 144 divisors (see below), whose sum is σ = 9627508800. Its totient is φ = 690099200.

The previous prime is 2948421293. The next prime is 2948421317. The reversal of 2948421300 is 31248492.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80296 + ... + 111104.

It is an arithmetic number, because the mean of its divisors is an integer number (66857700).

Almost surely, 22948421300 is an apocalyptic number.

2948421300 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 2948421300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4813754400).

2948421300 is an abundant number, since it is smaller than the sum of its proper divisors (6679087500).

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

2948421300 is a wasteful number, since it uses less digits than its factorization.

2948421300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30866 (or 30859 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2948421300 is about 54299.3673996300. The cubic root of 2948421300 is about 1433.9362591759.

Adding to 2948421300 its reverse (31248492), we get a palindrome (2979669792).

The spelling of 2948421300 in words is "two billion, nine hundred forty-eight million, four hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 29 30 33 44 50 55 58 60 66 75 87 100 110 116 132 145 150 165 174 220 275 290 300 319 330 348 435 550 580 638 660 725 825 870 957 1100 1276 1450 1595 1650 1740 1914 2175 2900 3190 3300 3828 4350 4785 6380 7975 8700 9570 15950 19140 23925 30809 31900 47850 61618 92427 95700 123236 154045 184854 308090 338899 369708 462135 616180 677798 770225 893461 924270 1016697 1355596 1540450 1694495 1786922 1848540 2033394 2310675 2680383 3080900 3388990 3573844 4066788 4467305 4621350 5083485 5360766 6777980 8472475 8934610 9242700 9828071 10166970 10721532 13401915 16944950 17869220 19656142 20333940 22336525 25417425 26803830 29484213 33889900 39312284 44673050 49140355 50834850 53607660 58968426 67009575 89346100 98280710 101669700 117936852 134019150 147421065 196561420 245701775 268038300 294842130 491403550 589684260 737105325 982807100 1474210650 2948421300