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3881471040 = 263251347733
BaseRepresentation
bin1110011101011010…
…1000110001000000
3101000111200011021200
43213112220301000
530422124033130
61441053221200
7165120650046
oct34726506100
911014604250
103881471040
111711a97707
12903a91800
1349b1c1235
1428b6dc396
1517ab60760
hexe75a8c40

3881471040 has 84 divisors (see below), whose sum is σ = 13350653004. Its totient is φ = 1035058176.

The previous prime is 3881471021. The next prime is 3881471063. The reversal of 3881471040 is 401741883.

It can be written as a sum of positive squares in 2 ways, for example, as 1905846336 + 1975624704 = 43656^2 + 44448^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3881470986 and 3881471004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 670987 + ... + 676746.

Almost surely, 23881471040 is an apocalyptic number.

3881471040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3881471040 is an abundant number, since it is smaller than the sum of its proper divisors (9469181964).

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

3881471040 is a wasteful number, since it uses less digits than its factorization.

3881471040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347756 (or 1347743 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 3881471040 is about 62301.4529525596. The cubic root of 3881471040 is about 1571.5641625308.

The spelling of 3881471040 in words is "three billion, eight hundred eighty-one million, four hundred seventy-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 1347733 2695466 4043199 5390932 6738665 8086398 10781864 12129597 13477330 16172796 20215995 21563728 24259194 26954660 32345592 40431990 43127456 48518388 53909320 60647985 64691184 80863980 86254912 97036776 107818640 121295970 129382368 161727960 194073552 215637280 242591940 258764736 323455920 388147104 431274560 485183880 646911840 776294208 970367760 1293823680 1940735520 3881471040