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3971087208 = 2334111493739
BaseRepresentation
bin1110110010110001…
…1111101101101000
3101020202022010120000
43230230133231220
531113044242313
61454014103000
7200256453504
oct35454375550
911222263500
103971087208
111758636660
12929aaaa60
134b393a55a
14299589304
15183963673
hexecb1fb68

3971087208 has 160 divisors (see below), whose sum is σ = 12218580000. Its totient is φ = 1194963840.

The previous prime is 3971087203. The next prime is 3971087209. The reversal of 3971087208 is 8027801793.

It is a super-2 number, since 2×39710872082 = 31539067227082470528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3971087201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1060203 + ... + 1063941.

It is an arithmetic number, because the mean of its divisors is an integer number (76366125).

Almost surely, 23971087208 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 3971087208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6109290000).

3971087208 is an abundant number, since it is smaller than the sum of its proper divisors (8247492792).

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

3971087208 is a wasteful number, since it uses less digits than its factorization.

3971087208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3917 (or 3904 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 3971087208 is about 63016.5629656204. The cubic root of 3971087208 is about 1583.5671165587.

The spelling of 3971087208 in words is "three billion, nine hundred seventy-one million, eighty-seven thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 149 162 198 216 264 297 298 324 396 447 594 596 648 792 891 894 1188 1192 1341 1639 1782 1788 2376 2682 3278 3564 3576 3739 4023 4917 5364 6556 7128 7478 8046 9834 10728 11217 12069 13112 14751 14956 16092 19668 22434 24138 29502 29912 32184 33651 39336 41129 44253 44868 48276 59004 67302 82258 88506 89736 96552 100953 118008 123387 132759 134604 164516 177012 201906 246774 265518 269208 302859 329032 354024 370161 403812 493548 531036 557111 605718 740322 807624 987096 1062072 1110483 1114222 1211436 1480644 1671333 2220966 2228444 2422872 2961288 3331449 3342666 4441932 4456888 5013999 6128221 6662898 6685332 8883864 10027998 12256442 13325796 13370664 15041997 18384663 20055996 24512884 26651592 30083994 36769326 40111992 45125991 49025768 55153989 60167988 73538652 90251982 110307978 120335976 147077304 165461967 180503964 220615956 330923934 361007928 441231912 496385901 661847868 992771802 1323695736 1985543604 3971087208