Search a number
-
+
86693856 = 2533129131
BaseRepresentation
bin1010010101011…
…01011111100000
320001010111121120
411022231133200
5134143200411
612334052240
72101612524
oct512553740
9201114546
1086693856
1144a33417
122504a080
1314c65152
14b729d84
157927106
hex52ad7e0

86693856 has 48 divisors (see below), whose sum is σ = 234920448. Its totient is φ = 27964800.

The previous prime is 86693813. The next prime is 86693899. The reversal of 86693856 is 65839668.

It is an interprime number because it is at equal distance from previous prime (86693813) and next prime (86693899).

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 86693799 and 86693808.

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, 11590 + ... + 17541.

It is an arithmetic number, because the mean of its divisors is an integer number (4894176).

Almost surely, 286693856 is an apocalyptic number.

It is an amenable number.

86693856 is an abundant number, since it is smaller than the sum of its proper divisors (148226592).

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

86693856 is a wasteful number, since it uses less digits than its factorization.

86693856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29175 (or 29167 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 51.

The square root of 86693856 is about 9310.9535494492. The cubic root of 86693856 is about 442.5844047233.

The spelling of 86693856 in words is "eighty-six million, six hundred ninety-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 29131 58262 87393 116524 174786 233048 349572 466096 699144 903061 932192 1398288 1806122 2709183 2796576 3612244 5418366 7224488 10836732 14448976 21673464 28897952 43346928 86693856