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3882418704 = 2432131277743
BaseRepresentation
bin1110011101101001…
…0000001000010000
3101000120110022020100
43213122100020100
530422344344304
61441125412400
7165132004653
oct34732201020
911016408210
103882418704
1117125846aa
1290426a100
1349b463698
1428b8a789a
1517ac9b439
hexe7690210

3882418704 has 120 divisors (see below), whose sum is σ = 11002635072. Its totient is φ = 1277902080.

The previous prime is 3882418681. The next prime is 3882418711. The reversal of 3882418704 is 4078142883.

It is a self number, because there is not a number n which added to its sum of digits gives 3882418704.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5224957 + ... + 5225699.

Almost surely, 23882418704 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 3882418704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5501317536).

3882418704 is an abundant number, since it is smaller than the sum of its proper divisors (7120216368).

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

3882418704 is a wasteful number, since it uses less digits than its factorization.

3882418704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 3882418704 is about 62309.0579611023. The cubic root of 3882418704 is about 1571.6920516374.

The spelling of 3882418704 in words is "three billion, eight hundred eighty-two million, four hundred eighteen thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 131 144 262 277 393 524 554 743 786 831 1048 1108 1179 1486 1572 1662 2096 2216 2229 2358 2493 2972 3144 3324 4432 4458 4716 4986 5944 6288 6648 6687 8916 9432 9972 11888 13296 13374 17832 18864 19944 26748 35664 36287 39888 53496 72574 97333 106992 108861 145148 194666 205811 217722 290296 291999 326583 389332 411622 435444 580592 583998 617433 653166 778664 823244 870888 875997 1167996 1234866 1306332 1557328 1646488 1741776 1751994 1852299 2335992 2469732 2612664 3292976 3503988 3704598 4671984 4939464 5225328 7007976 7409196 9878928 14015952 14818392 26961241 29636784 53922482 80883723 107844964 161767446 215689928 242651169 323534892 431379856 485302338 647069784 970604676 1294139568 1941209352 3882418704