Search a number
-
+
9428382240 = 253517267967
BaseRepresentation
bin10001100011111100…
…11011001000100000
3220100002011102222020
420301332123020200
5123302131212430
64155322541440
7452433632604
oct106176331040
926302142866
109428382240
113aa9092142
1219b1667880
13b7344b404
14656287504
153a2ae9b10
hex231f9b220

9428382240 has 144 divisors (see below), whose sum is σ = 31549658112. Its totient is φ = 2366304256.

The previous prime is 9428382239. The next prime is 9428382281. The reversal of 9428382240 is 422838249.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 9428382192 and 9428382201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104737 + ... + 172703.

It is an arithmetic number, because the mean of its divisors is an integer number (219094848).

Almost surely, 29428382240 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 9428382240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15774829056).

9428382240 is an abundant number, since it is smaller than the sum of its proper divisors (22121275872).

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

9428382240 is a wasteful number, since it uses less digits than its factorization.

9428382240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68019 (or 67994 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 9428382240 is about 97099.8570544777. The cubic root of 9428382240 is about 2112.5762531676.

The spelling of 9428382240 in words is "nine billion, four hundred twenty-eight million, three hundred eighty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 289 340 408 480 510 544 578 680 816 867 1020 1156 1360 1445 1632 1734 2040 2312 2720 2890 3468 4080 4335 4624 5780 6936 8160 8670 9248 11560 13872 17340 23120 27744 34680 46240 67967 69360 135934 138720 203901 271868 339835 407802 543736 679670 815604 1019505 1087472 1155439 1359340 1631208 2039010 2174944 2310878 2718680 3262416 3466317 4078020 4621756 5437360 5777195 6524832 6932634 8156040 9243512 10874720 11554390 13865268 16312080 17331585 18487024 19642463 23108780 27730536 32624160 34663170 36974048 39284926 46217560 55461072 58927389 69326340 78569852 92435120 98212315 110922144 117854778 138652680 157139704 184870240 196424630 235709556 277305360 294636945 314279408 392849260 471419112 554610720 589273890 628558816 785698520 942838224 1178547780 1571397040 1885676448 2357095560 3142794080 4714191120 9428382240