Search a number
-
+
9058985040 = 243578396427
BaseRepresentation
bin10000110111111010…
…10010010001010000
3212101100002010021110
420123331102101100
5122023100010130
64054525253320
7440330050050
oct103375222120
925340063243
109058985040
1139296195a6
121909a04240
13b14a632a1
1461d1ab560
1538047dab0
hex21bf52450

9058985040 has 160 divisors (see below), whose sum is σ = 32137943040. Its totient is φ = 2067835392.

The previous prime is 9058985029. The next prime is 9058985071. The reversal of 9058985040 is 405898509.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1406307 + ... + 1412733.

It is an arithmetic number, because the mean of its divisors is an integer number (200862144).

Almost surely, 29058985040 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 9058985040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16068971520).

9058985040 is an abundant number, since it is smaller than the sum of its proper divisors (23078958000).

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

9058985040 is a wasteful number, since it uses less digits than its factorization.

9058985040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7289 (or 7283 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The square root of 9058985040 is about 95178.7005584758. The cubic root of 9058985040 is about 2084.6181474393.

The spelling of 9058985040 in words is "nine billion, fifty-eight million, nine hundred eighty-five thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 839 840 1678 1680 2517 3356 4195 5034 5873 6427 6712 8390 10068 11746 12585 12854 13424 16780 17619 19281 20136 23492 25170 25708 29365 32135 33560 35238 38562 40272 44989 46984 50340 51416 58730 64270 67120 70476 77124 88095 89978 93968 96405 100680 102832 117460 128540 134967 140952 154248 176190 179956 192810 201360 224945 234920 257080 269934 281904 308496 352380 359912 385620 449890 469840 514160 539868 674835 704760 719824 771240 899780 1079736 1349670 1409520 1542480 1799560 2159472 2699340 3599120 5392253 5398680 10784506 10797360 16176759 21569012 26961265 32353518 37745771 43138024 53922530 64707036 75491542 80883795 86276048 107845060 113237313 129414072 150983084 161767590 188728855 215690120 226474626 258828144 301966168 323535180 377457710 431380240 452949252 566186565 603932336 647070360 754915420 905898504 1132373130 1294140720 1509830840 1811797008 2264746260 3019661680 4529492520 9058985040