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86040528 = 24371631571
BaseRepresentation
bin1010010000011…
…01111111010000
312222220022102020
411020031333100
5134011244103
612312051440
72063222010
oct510157720
9188808366
1086040528
1144627582
1224993b80
1314a96972
14b5d9c40
157848753
hex520dfd0

86040528 has 80 divisors (see below), whose sum is σ = 255745536. Its totient is φ = 24416640.

The previous prime is 86040527. The next prime is 86040533. The reversal of 86040528 is 82504068.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86040527) 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 15 ways as a sum of consecutive naturals, for example, 53983 + ... + 55553.

Almost surely, 286040528 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 86040528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127872768).

86040528 is an abundant number, since it is smaller than the sum of its proper divisors (169705008).

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

86040528 is a wasteful number, since it uses less digits than its factorization.

86040528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 86040528 is about 9275.8033614345. The cubic root of 86040528 is about 441.4698228719.

It can be divided in two parts, 86040 and 528, that added together give a palindrome (86568).

The spelling of 86040528 in words is "eighty-six million, forty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 163 168 326 336 489 652 978 1141 1304 1571 1956 2282 2608 3142 3423 3912 4564 4713 6284 6846 7824 9128 9426 10997 12568 13692 18256 18852 21994 25136 27384 32991 37704 43988 54768 65982 75408 87976 131964 175952 256073 263928 512146 527856 768219 1024292 1536438 1792511 2048584 3072876 3585022 4097168 5377533 6145752 7170044 10755066 12291504 14340088 21510132 28680176 43020264 86040528