Search a number
-
+
249470280 = 23345372081
BaseRepresentation
bin11101101111010…
…01110101001000
3122101102101220000
432313221311020
51002331022110
640431003000
76116314413
oct1667516510
9571371800
10249470280
11118901794
126b669460
133c8b8567
14251bcb7a
1516d7c1c0
hexede9d48

249470280 has 160 divisors (see below), whose sum is σ = 861573240. Its totient is φ = 64696320.

The previous prime is 249470269. The next prime is 249470321. The reversal of 249470280 is 82074942.

It can be written as a sum of positive squares in 4 ways, for example, as 228070404 + 21399876 = 15102^2 + 4626^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 118840 + ... + 120920.

Almost surely, 2249470280 is an apocalyptic number.

249470280 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 249470280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430786620).

249470280 is an abundant number, since it is smaller than the sum of its proper divisors (612102960).

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

249470280 is a wasteful number, since it uses less digits than its factorization.

249470280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 249470280 is about 15794.6282007523. The cubic root of 249470280 is about 629.5152734020.

The spelling of 249470280 in words is "two hundred forty-nine million, four hundred seventy thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 37 40 45 54 60 72 74 81 90 108 111 120 135 148 162 180 185 216 222 270 296 324 333 360 370 405 444 540 555 648 666 740 810 888 999 1080 1110 1332 1480 1620 1665 1998 2081 2220 2664 2997 3240 3330 3996 4162 4440 4995 5994 6243 6660 7992 8324 9990 10405 11988 12486 13320 14985 16648 18729 19980 20810 23976 24972 29970 31215 37458 39960 41620 49944 56187 59940 62430 74916 76997 83240 93645 112374 119880 124860 149832 153994 168561 187290 224748 230991 249720 280935 307988 337122 374580 384985 449496 461982 561870 615976 674244 692973 749160 769970 842805 923964 1123740 1154955 1348488 1385946 1539940 1685610 1847928 2078919 2247480 2309910 2771892 3079880 3371220 3464865 4157838 4619820 5543784 6236757 6742440 6929730 8315676 9239640 10394595 12473514 13859460 16631352 20789190 24947028 27718920 31183785 41578380 49894056 62367570 83156760 124735140 249470280