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86027872 = 257735261
BaseRepresentation
bin1010010000010…
…10111001100000
312222212200001111
411020022321200
5134010342442
612311513104
72063140060
oct510127140
9188780044
1086027872
1144619017
1224988794
1314a90c88
14b5d53a0
157844b17
hex520ae60

86027872 has 48 divisors (see below), whose sum is σ = 196251552. Its totient is φ = 36357120.

The previous prime is 86027867. The next prime is 86027897. The reversal of 86027872 is 27872068.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13722 + ... + 18982.

It is an arithmetic number, because the mean of its divisors is an integer number (4088574).

Almost surely, 286027872 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 86027872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98125776).

86027872 is an abundant number, since it is smaller than the sum of its proper divisors (110223680).

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

86027872 is a wasteful number, since it uses less digits than its factorization.

86027872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5351 (or 5343 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 86027872 is about 9275.1211312845. The cubic root of 86027872 is about 441.4481760341.

The spelling of 86027872 in words is "eighty-six million, twenty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 73 112 146 224 292 511 584 1022 1168 2044 2336 4088 5261 8176 10522 16352 21044 36827 42088 73654 84176 147308 168352 294616 384053 589232 768106 1178464 1536212 2688371 3072424 5376742 6144848 10753484 12289696 21506968 43013936 86027872