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2871085032 = 23322313912473
BaseRepresentation
bin1010101100100001…
…0100011111101000
321102002110020020200
42223020110133220
521334444210112
61152521152200
7131101551204
oct25310243750
97362406220
102871085032
11124371a752
1268162b660
13369a888aa
141d3449b04
1511c0cbcdc
hexab2147e8

2871085032 has 96 divisors (see below), whose sum is σ = 8172964800. Its totient is φ = 908759808.

The previous prime is 2871085031. The next prime is 2871085033. The reversal of 2871085032 is 2305801782.

It is an interprime number because it is at equal distance from previous prime (2871085031) and next prime (2871085033).

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

It is not an unprimeable number, because it can be changed into a prime (2871085031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223948 + ... + 236420.

It is an arithmetic number, because the mean of its divisors is an integer number (85135050).

Almost surely, 22871085032 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 2871085032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4086482400).

2871085032 is an abundant number, since it is smaller than the sum of its proper divisors (5301879768).

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

2871085032 is a wasteful number, since it uses less digits than its factorization.

2871085032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12647 (or 12640 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2871085032 is about 53582.5067722666. The cubic root of 2871085032 is about 1421.2877678553.

The spelling of 2871085032 in words is "two billion, eight hundred seventy-one million, eighty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 139 184 207 276 278 414 417 552 556 828 834 1112 1251 1656 1668 2502 3197 3336 5004 6394 9591 10008 12473 12788 19182 24946 25576 28773 37419 38364 49892 57546 74838 76728 99784 112257 115092 149676 224514 230184 286879 299352 449028 573758 860637 898056 1147516 1721274 1733747 2295032 2581911 3442548 3467494 5163822 5201241 6885096 6934988 10327644 10402482 13869976 15603723 20655288 20804964 31207446 39876181 41609928 62414892 79752362 119628543 124829784 159504724 239257086 319009448 358885629 478514172 717771258 957028344 1435542516 2871085032