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86225472 = 263416633
BaseRepresentation
bin1010010001110…
…11001001000000
320000020201010000
411020323021000
5134033203342
612320040000
72064622134
oct510731100
9200221100
1086225472
1144743523
1224a63000
1314b2cbb8
14b6473c4
15788344c
hex523b240

86225472 has 70 divisors (see below), whose sum is σ = 255614678. Its totient is φ = 28740096.

The previous prime is 86225437. The next prime is 86225473. The reversal of 86225472 is 27452268.

It can be written as a sum of positive squares in only one way, i.e., 59351616 + 26873856 = 7704^2 + 5184^2 .

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 (86225473) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3133 + ... + 13500.

Almost surely, 286225472 is an apocalyptic number.

It is an amenable number.

86225472 is an abundant number, since it is smaller than the sum of its proper divisors (169389206).

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

86225472 is a wasteful number, since it uses less digits than its factorization.

86225472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16657 (or 16638 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 86225472 is about 9285.7671734758. The cubic root of 86225472 is about 441.7859094356.

The spelling of 86225472 in words is "eighty-six million, two hundred twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 16633 33266 49899 66532 99798 133064 149697 199596 266128 299394 399192 449091 532256 598788 798384 898182 1064512 1197576 1347273 1596768 1796364 2395152 2694546 3193536 3592728 4790304 5389092 7185456 9580608 10778184 14370912 21556368 28741824 43112736 86225472