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3982525008 = 2437118912107
BaseRepresentation
bin1110110101100000…
…1000001001010000
3101021112211020021020
43231120020021100
531124011300013
61455103155440
7200455622040
oct35530101120
911245736236
103982525008
111764038a90
129318a5b80
134b6113697
1429acc5720
15184972623
hexed608250

3982525008 has 160 divisors (see below), whose sum is σ = 12972026880. Its totient is φ = 1022714880.

The previous prime is 3982524991. The next prime is 3982525033. The reversal of 3982525008 is 8005252893.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 322891 + ... + 334997.

It is an arithmetic number, because the mean of its divisors is an integer number (81075168).

Almost surely, 23982525008 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 3982525008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6486013440).

3982525008 is an abundant number, since it is smaller than the sum of its proper divisors (8989501872).

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

3982525008 is a wasteful number, since it uses less digits than its factorization.

3982525008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12225 (or 12219 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 3982525008 is about 63107.2500430814. The cubic root of 3982525008 is about 1585.0860257090.

The spelling of 3982525008 in words is "three billion, nine hundred eighty-two million, five hundred twenty-five thousand, eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 89 112 132 154 168 176 178 231 264 267 308 336 356 462 528 534 616 623 712 924 979 1068 1232 1246 1424 1848 1869 1958 2136 2492 2937 3696 3738 3916 4272 4984 5874 6853 7476 7832 9968 11748 12107 13706 14952 15664 20559 23496 24214 27412 29904 36321 41118 46992 48428 54824 72642 82236 84749 96856 109648 133177 145284 164472 169498 193712 254247 266354 290568 328944 338996 399531 508494 532708 581136 677992 799062 932239 1016988 1065416 1077523 1355984 1598124 1864478 2033976 2130832 2155046 2796717 3196248 3232569 3728956 4067952 4310092 5593434 6392496 6465138 7457912 7542661 8620184 11186868 11852753 12930276 14915824 15085322 17240368 22373736 22627983 23705506 25860552 30170644 35558259 44747472 45255966 47411012 51721104 60341288 71116518 82969271 90511932 94822024 120682576 142233036 165938542 181023864 189644048 248907813 284466072 331877084 362047728 497815626 568932144 663754168 995631252 1327508336 1991262504 3982525008