Search a number
-
+
57448300 = 225271359107
BaseRepresentation
bin1101101100100…
…1011101101100
311000002200020211
43123021131230
5104201321200
65411152204
71265205520
oct333113554
9130080224
1057448300
112a478838
12172a5664
13bb956a0
1478b5d80
15509baba
hex36c976c

57448300 has 144 divisors (see below), whose sum is σ = 157489920. Its totient is φ = 17706240.

The previous prime is 57448297. The next prime is 57448327. The reversal of 57448300 is 384475.

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, 536847 + ... + 536953.

It is an arithmetic number, because the mean of its divisors is an integer number (1093680).

Almost surely, 257448300 is an apocalyptic number.

57448300 is a gapful number since it is divisible by the number (50) 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 57448300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78744960).

57448300 is an abundant number, since it is smaller than the sum of its proper divisors (100041620).

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

57448300 is a wasteful number, since it uses less digits than its factorization.

57448300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 57448300 is about 7579.4656803762. The cubic root of 57448300 is about 385.8564170169.

The spelling of 57448300 in words is "fifty-seven million, four hundred forty-eight thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 59 65 70 91 100 107 118 130 140 175 182 214 236 260 295 325 350 364 413 428 455 535 590 650 700 749 767 826 910 1070 1180 1300 1391 1475 1498 1534 1652 1820 2065 2140 2275 2675 2782 2950 2996 3068 3745 3835 4130 4550 5350 5369 5564 5900 6313 6955 7490 7670 8260 9100 9737 10325 10700 10738 12626 13910 14980 15340 18725 19175 19474 20650 21476 25252 26845 27820 31565 34775 37450 38350 38948 41300 44191 48685 53690 63130 69550 74900 76700 82069 88382 97370 107380 126260 134225 139100 157825 164138 176764 194740 220955 243425 268450 315650 328276 410345 441910 486850 536900 574483 631300 820690 883820 973700 1104775 1148966 1641380 2051725 2209550 2297932 2872415 4103450 4419100 5744830 8206900 11489660 14362075 28724150 57448300