Search a number
-
+
86793792 = 2632511801
BaseRepresentation
bin1010010110001…
…01111001000000
320001022120200220
411023011321000
5134204400132
612340143040
72102510061
oct513057100
9201276626
1086793792
1144aa1508
1225097a80
1314c9b797
14b754568
157946a2c
hex52c5e40

86793792 has 56 divisors (see below), whose sum is σ = 230684832. Its totient is φ = 28800000.

The previous prime is 86793787. The next prime is 86793793. The reversal of 86793792 is 29739768.

It is not an unprimeable number, because it can be changed into a prime (86793793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47292 + ... + 49092.

It is an arithmetic number, because the mean of its divisors is an integer number (4119372).

Almost surely, 286793792 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 86793792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115342416).

86793792 is an abundant number, since it is smaller than the sum of its proper divisors (143891040).

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

86793792 is a wasteful number, since it uses less digits than its factorization.

86793792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067 (or 2057 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 51.

The square root of 86793792 is about 9316.3185862228. The cubic root of 86793792 is about 442.7544018935.

The spelling of 86793792 in words is "eighty-six million, seven hundred ninety-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 251 502 753 1004 1506 1801 2008 3012 3602 4016 5403 6024 7204 8032 10806 12048 14408 16064 21612 24096 28816 43224 48192 57632 86448 115264 172896 345792 452051 904102 1356153 1808204 2712306 3616408 5424612 7232816 10849224 14465632 21698448 28931264 43396896 86793792