Search a number
-
+
82691784 = 23327164071
BaseRepresentation
bin1001110110111…
…00011011001000
312202121011210200
410323130123020
5132132114114
612112212200
72022603630
oct473343310
9182534720
1082691784
114274a61a
122383a060
1314193666
14ada76c0
1573d6409
hex4edc6c8

82691784 has 48 divisors (see below), whose sum is σ = 255952320. Its totient is φ = 23626080.

The previous prime is 82691779. The next prime is 82691801. The reversal of 82691784 is 48719628.

It is a super-2 number, since 2×826917842 = 13675862282205312, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81532 + ... + 82539.

It is an arithmetic number, because the mean of its divisors is an integer number (5332340).

Almost surely, 282691784 is an apocalyptic number.

82691784 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

82691784 is an abundant number, since it is smaller than the sum of its proper divisors (173260536).

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

82691784 is a wasteful number, since it uses less digits than its factorization.

82691784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164090 (or 164083 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 82691784 is about 9093.5022955955. The cubic root of 82691784 is about 435.6664536479. Note that the first 3 decimals are identical.

The spelling of 82691784 in words is "eighty-two million, six hundred ninety-one thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 164071 328142 492213 656284 984426 1148497 1312568 1476639 1968852 2296994 2953278 3445491 3937704 4593988 5906556 6890982 9187976 10336473 11813112 13781964 20672946 27563928 41345892 82691784