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872623017 = 3372897411
BaseRepresentation
bin110100000000110…
…010101110101001
32020210222211202000
4310000302232221
53241342414032
6222331201213
730424113300
oct6400625651
92223884660
10872623017
11408633652
122042a6209
1310ba2c5a6
1483c71437
155191ee7c
hex34032ba9

872623017 has 48 divisors (see below), whose sum is σ = 1520942400. Its totient is φ = 492972480.

The previous prime is 872622997. The next prime is 872623033. The reversal of 872623017 is 710326278.

It is not a de Polignac number, because 872623017 - 26 = 872622953 is a prime.

It is a super-2 number, since 2×8726230172 = 1522941859596364578, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872623067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114042 + ... + 121452.

It is an arithmetic number, because the mean of its divisors is an integer number (31686300).

Almost surely, 2872623017 is an apocalyptic number.

It is an amenable number.

872623017 is a deficient number, since it is larger than the sum of its proper divisors (648319383).

872623017 is a wasteful number, since it uses less digits than its factorization.

872623017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7523 (or 7510 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 872623017 is about 29540.1932458134. The cubic root of 872623017 is about 955.5987097636.

The spelling of 872623017 in words is "eight hundred seventy-two million, six hundred twenty-three thousand, seventeen".

Divisors: 1 3 7 9 21 27 49 63 89 147 189 267 441 623 801 1323 1869 2403 4361 5607 7411 13083 16821 22233 39249 51877 66699 117747 155631 200097 363139 466893 659579 1089417 1400679 1978737 3268251 4617053 5936211 9804753 13851159 17808633 32319371 41553477 96958113 124660431 290874339 872623017