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86788604 = 227317612
BaseRepresentation
bin1010010110001…
…00100111111100
320001022022120202
411023010213330
5134204213404
612340103032
72102456000
oct513044774
9201268522
1086788604
1144a98621
1225094a78
1314c99306
14b752700
15794521e
hex52c49fc

86788604 has 72 divisors (see below), whose sum is σ = 190663200. Its totient is φ = 34433280.

The previous prime is 86788601. The next prime is 86788627. The reversal of 86788604 is 40688768.

It is a happy number.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86788601) 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, 1422734 + ... + 1422794.

It is an arithmetic number, because the mean of its divisors is an integer number (2648100).

Almost surely, 286788604 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 86788604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95331600).

86788604 is an abundant number, since it is smaller than the sum of its proper divisors (103874596).

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

86788604 is a wasteful number, since it uses less digits than its factorization.

86788604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 47.

The square root of 86788604 is about 9316.0401458989. The cubic root of 86788604 is about 442.7455800045.

The spelling of 86788604 in words is "eighty-six million, seven hundred eighty-eight thousand, six hundred four".

Divisors: 1 2 4 7 14 17 28 34 49 61 68 98 119 122 196 238 244 343 427 476 686 833 854 1037 1372 1666 1708 2074 2989 3332 3721 4148 5831 5978 7259 7442 11662 11956 14518 14884 20923 23324 26047 29036 41846 50813 52094 63257 83692 101626 104188 126514 182329 203252 253028 355691 364658 442799 711382 729316 885598 1276303 1422764 1771196 2552606 3099593 5105212 6199186 12398372 21697151 43394302 86788604