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3871073088 = 263210961657
BaseRepresentation
bin1110011010111011…
…1110001101000000
3100222210002212222100
43212232332031000
530411443314323
61440042310400
7164633402241
oct34656761500
910883085870
103871073088
111707135563
129004b8400
13498cc04bc
1428a192cc8
15179ca9943
hexe6bbe340

3871073088 has 84 divisors (see below), whose sum is σ = 11197709380. Its totient is φ = 1278498816.

The previous prime is 3871073069. The next prime is 3871073093. The reversal of 3871073088 is 8803701783.

It can be written as a sum of positive squares in 2 ways, for example, as 2308610304 + 1562462784 = 48048^2 + 39528^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31956 + ... + 93612.

Almost surely, 23871073088 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 3871073088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5598854690).

3871073088 is an abundant number, since it is smaller than the sum of its proper divisors (7326636292).

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

3871073088 is a wasteful number, since it uses less digits than its factorization.

3871073088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61784 (or 61771 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 3871073088 is about 62217.9482786117. The cubic root of 3871073088 is about 1570.1595694305.

The spelling of 3871073088 in words is "three billion, eight hundred seventy-one million, seventy-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 109 144 192 218 288 327 436 576 654 872 981 1308 1744 1962 2616 3488 3924 5232 6976 7848 10464 15696 20928 31392 61657 62784 123314 184971 246628 369942 493256 554913 739884 986512 1109826 1479768 1973024 2219652 2959536 3946048 4439304 5919072 6720613 8878608 11838144 13441226 17757216 20161839 26882452 35514432 40323678 53764904 60485517 80647356 107529808 120971034 161294712 215059616 241942068 322589424 430119232 483884136 645178848 967768272 1290357696 1935536544 3871073088