Search a number
-
+
42998900 = 22527195361
BaseRepresentation
bin1010010000000…
…1110001110100
32222220120101212
42210001301310
542001431100
64133340552
71031325140
oct244016164
988816355
1042998900
11222a978a
1212497758
138ba6849
1459d4220
153b95635
hex2901c74

42998900 has 144 divisors (see below), whose sum is σ = 116242560. Its totient is φ = 13478400.

The previous prime is 42998887. The next prime is 42998939. The reversal of 42998900 is 989924.

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, 704870 + ... + 704930.

It is an arithmetic number, because the mean of its divisors is an integer number (807240).

Almost surely, 242998900 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 42998900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58121280).

42998900 is an abundant number, since it is smaller than the sum of its proper divisors (73243660).

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

42998900 is a wasteful number, since it uses less digits than its factorization.

42998900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 42998900 is about 6557.3546495519. The cubic root of 42998900 is about 350.3368186195.

The spelling of 42998900 in words is "forty-two million, nine hundred ninety-eight thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 53 61 70 76 95 100 106 122 133 140 175 190 212 244 265 266 305 350 371 380 427 475 530 532 610 665 700 742 854 950 1007 1060 1159 1220 1325 1330 1484 1525 1708 1855 1900 2014 2135 2318 2650 2660 3050 3233 3325 3710 4028 4270 4636 5035 5300 5795 6100 6466 6650 7049 7420 8113 8540 9275 10070 10675 11590 12932 13300 14098 16165 16226 18550 20140 21350 22631 23180 25175 28196 28975 32330 32452 35245 37100 40565 42700 45262 50350 57950 61427 64660 70490 80825 81130 90524 100700 113155 115900 122854 140980 161650 162260 176225 202825 226310 245708 307135 323300 352450 405650 429989 452620 565775 614270 704900 811300 859978 1131550 1228540 1535675 1719956 2149945 2263100 3071350 4299890 6142700 8599780 10749725 21499450 42998900