Search a number
-
+
86878624 = 2571991949
BaseRepresentation
bin1010010110110…
…10100110100000
320001110220001211
411023122212200
5134220103444
612342035504
72103312310
oct513324640
9201426054
1086878624
114504a218
1225118b94
1314ccb291
14b777440
157961c34
hex52da9a0

86878624 has 48 divisors (see below), whose sum is σ = 196560000. Its totient is φ = 37027584.

The previous prime is 86878609. The next prime is 86878637. The reversal of 86878624 is 42687868.

It is a nialpdrome in base 14.

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, 43602 + ... + 45550.

It is an arithmetic number, because the mean of its divisors is an integer number (4095000).

Almost surely, 286878624 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 86878624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98280000).

86878624 is an abundant number, since it is smaller than the sum of its proper divisors (109681376).

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

86878624 is a wasteful number, since it uses less digits than its factorization.

86878624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2165 (or 2157 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 49.

The square root of 86878624 is about 9320.8703456276. The cubic root of 86878624 is about 442.8986038780.

The spelling of 86878624 in words is "eighty-six million, eight hundred seventy-eight thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 199 224 398 796 1393 1592 1949 2786 3184 3898 5572 6368 7796 11144 13643 15592 22288 27286 31184 44576 54572 62368 109144 218288 387851 436576 775702 1551404 2714957 3102808 5429914 6205616 10859828 12411232 21719656 43439312 86878624