Search a number
-
+
3977013852 = 2232724747969
BaseRepresentation
bin1110110100001100…
…0110101001011100
3101021011110020101100
43231003012221130
531121103420402
61454345113100
7200361026400
oct35503065134
911234406340
103977013852
111760a14409
1292ba88790
134b4c34046
1429a28d100
1518423471c
hexed0c6a5c

3977013852 has 108 divisors (see below), whose sum is σ = 11943378720. Its totient is φ = 1112090112.

The previous prime is 3977013827. The next prime is 3977013863. The reversal of 3977013852 is 2583107793.

It is a happy number.

3977013852 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3977013798 and 3977013807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58924 + ... + 106892.

It is an arithmetic number, because the mean of its divisors is an integer number (110586840).

Almost surely, 23977013852 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 3977013852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5971689360).

3977013852 is an abundant number, since it is smaller than the sum of its proper divisors (7966364868).

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

3977013852 is a wasteful number, since it uses less digits than its factorization.

3977013852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48040 (or 48028 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 3977013852 is about 63063.5699274946. The cubic root of 3977013852 is about 1584.3545225368.

The spelling of 3977013852 in words is "three billion, nine hundred seventy-seven million, thirteen thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 49 63 84 94 98 126 141 147 188 196 252 282 294 329 423 441 564 588 658 846 882 987 1316 1692 1764 1974 2303 2961 3948 4606 5922 6909 9212 11844 13818 20727 27636 41454 47969 82908 95938 143907 191876 287814 335783 431721 575628 671566 863442 1007349 1343132 1726884 2014698 2254543 2350481 3022047 4029396 4509086 4700962 6044094 6763629 7051443 9018172 9401924 12088188 13527258 14102886 15781801 20290887 21154329 27054516 28205772 31563602 40581774 42308658 47345403 63127204 81163548 84617316 94690806 110472607 142036209 189381612 220945214 284072418 331417821 441890428 568144836 662835642 994253463 1325671284 1988506926 3977013852