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2442793280 = 265371931069
BaseRepresentation
bin1001000110011010…
…0001000101000000
320022020112202102012
42101212201011000
520000323341110
61042221312052
7114351254204
oct22146410500
96266482365
102442793280
111043990824
12582105628
132cc11ca15
141925dcb04
15e46ca905
hex919a1140

2442793280 has 112 divisors (see below), whose sum is σ = 6010686480. Its totient is φ = 944898048.

The previous prime is 2442793271. The next prime is 2442793303. The reversal of 2442793280 is 823972442.

It can be written as a sum of positive squares in 8 ways, for example, as 61504 + 2442731776 = 248^2 + 49424^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2284586 + ... + 2285654.

Almost surely, 22442793280 is an apocalyptic number.

2442793280 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 2442793280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3005343240).

2442793280 is an abundant number, since it is smaller than the sum of its proper divisors (3567893200).

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

2442793280 is a wasteful number, since it uses less digits than its factorization.

2442793280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The square root of 2442793280 is about 49424.6222039178. The cubic root of 2442793280 is about 1346.7766316547.

The spelling of 2442793280 in words is "two billion, four hundred forty-two million, seven hundred ninety-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 148 160 185 193 296 320 370 386 592 740 772 965 1069 1184 1480 1544 1930 2138 2368 2960 3088 3860 4276 5345 5920 6176 7141 7720 8552 10690 11840 12352 14282 15440 17104 21380 28564 30880 34208 35705 39553 42760 57128 61760 68416 71410 79106 85520 114256 142820 158212 171040 197765 206317 228512 285640 316424 342080 395530 412634 457024 571280 632848 791060 825268 1031585 1142560 1265696 1582120 1650536 2063170 2285120 2531392 3164240 3301072 4126340 6328480 6602144 7633729 8252680 12656960 13204288 15267458 16505360 30534916 33010720 38168645 61069832 66021440 76337290 122139664 152674580 244279328 305349160 488558656 610698320 1221396640 2442793280