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9049428240 = 2435313113911
BaseRepresentation
bin10000110110110001…
…10101000100010000
3212100200002120210220
420123120311010100
5122013123200430
64053544353040
7440152604466
oct103330650420
925320076726
109049428240
113924191416
121906775780
13b12a98388
1461bc00836
1537e6e2110
hex21b635110

9049428240 has 160 divisors (see below), whose sum is σ = 29058711552. Its totient is φ = 2327232000.

The previous prime is 9049428229. The next prime is 9049428293. The reversal of 9049428240 is 428249409.

It is a junction number, because it is equal to n+sod(n) for n = 9049428192 and 9049428201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2311885 + ... + 2315795.

Almost surely, 29049428240 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 9049428240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14529355776).

9049428240 is an abundant number, since it is smaller than the sum of its proper divisors (20009283312).

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

9049428240 is a wasteful number, since it uses less digits than its factorization.

9049428240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4269 (or 4263 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 9049428240 is about 95128.4828008941. The cubic root of 9049428240 is about 2083.8848317158.

The spelling of 9049428240 in words is "nine billion, forty-nine million, four hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 311 372 465 496 620 622 744 930 933 1240 1244 1488 1555 1860 1866 2480 2488 3110 3720 3732 3911 4665 4976 6220 7440 7464 7822 9330 9641 11733 12440 14928 15644 18660 19282 19555 23466 24880 28923 31288 37320 38564 39110 46932 48205 57846 58665 62576 74640 77128 78220 93864 96410 115692 117330 121241 144615 154256 156440 187728 192820 231384 234660 242482 289230 312880 363723 385640 462768 469320 484964 578460 606205 727446 771280 938640 969928 1156920 1212410 1216321 1454892 1818615 1939856 2313840 2424820 2432642 2909784 3637230 3648963 4849640 4865284 5819568 6081605 7274460 7297926 9699280 9730568 12163210 14548920 14595852 18244815 19461136 24326420 29097840 29191704 36489630 37705951 48652840 58383408 72979260 75411902 97305680 113117853 145958520 150823804 188529755 226235706 291917040 301647608 377059510 452471412 565589265 603295216 754119020 904942824 1131178530 1508238040 1809885648 2262357060 3016476080 4524714120 9049428240