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8790482064 = 2437137692617
BaseRepresentation
bin10000010111111010…
…00001110010010000
3211200121211202102210
420023331001302100
5121000330411224
64012134312120
7430556602410
oct101375016220
924617752383
108790482064
113800aa8311
121853ab8640
13aa12429a0
145d5676640
15366ae2429
hex20bf41c90

8790482064 has 160 divisors (see below), whose sum is σ = 27996263680. Its totient is φ = 2314469376.

The previous prime is 8790482053. The next prime is 8790482093. The reversal of 8790482064 is 4602840978.

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

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, 3357684 + ... + 3360300.

It is an arithmetic number, because the mean of its divisors is an integer number (174976648).

Almost surely, 28790482064 is an apocalyptic number.

8790482064 is a gapful number since it is divisible by the number (84) 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 8790482064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13998131840).

8790482064 is an abundant number, since it is smaller than the sum of its proper divisors (19205781616).

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

8790482064 is a wasteful number, since it uses less digits than its factorization.

8790482064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3417 (or 3411 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 8790482064 is about 93757.5707023172. The cubic root of 8790482064 is about 2063.8156308784.

The spelling of 8790482064 in words is "eight billion, seven hundred ninety million, four hundred eighty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 769 1092 1456 1538 2184 2307 2617 3076 4368 4614 5234 5383 6152 7851 9228 9997 10468 10766 12304 15702 16149 18319 18456 19994 20936 21532 29991 31404 32298 34021 36638 36912 39988 41872 43064 54957 59982 62808 64596 68042 69979 73276 79976 86128 102063 109914 119964 125616 129192 136084 139958 146552 159952 204126 209937 219828 238147 239928 258384 272168 279916 293104 408252 419874 439656 476294 479856 544336 559832 714441 816504 839748 879312 952588 1119664 1428882 1633008 1679496 1905176 2012473 2857764 3358992 3810352 4024946 5715528 6037419 8049892 11431056 12074838 14087311 16099784 24149676 26162149 28174622 32199568 42261933 48299352 52324298 56349244 78486447 84523866 96598704 104648596 112698488 156972894 169047732 183135043 209297192 225396976 313945788 338095464 366270086 418594384 549405129 627891576 676190928 732540172 1098810258 1255783152 1465080344 2197620516 2930160688 4395241032 8790482064