Search a number
-
+
82758401 = 1110770313
BaseRepresentation
bin1001110111011…
…00101100000001
312202201120011222
410323230230001
5132141232101
612113444425
72023302065
oct473545401
9182646158
1082758401
1142795680
1223870715
13141b7a8b
14adc3aa5
1573eb01b
hex4eecb01

82758401 has 8 divisors (see below), whose sum is σ = 91126944. Its totient is φ = 74530720.

The previous prime is 82758371. The next prime is 82758409. The reversal of 82758401 is 10485728.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-82758401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82758409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33980 + ... + 36333.

It is an arithmetic number, because the mean of its divisors is an integer number (11390868).

Almost surely, 282758401 is an apocalyptic number.

It is an amenable number.

82758401 is a deficient number, since it is larger than the sum of its proper divisors (8368543).

82758401 is a wasteful number, since it uses less digits than its factorization.

82758401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70431.

The product of its (nonzero) digits is 17920, while the sum is 35.

The square root of 82758401 is about 9097.1644483322. The cubic root of 82758401 is about 435.7834140865.

The spelling of 82758401 in words is "eighty-two million, seven hundred fifty-eight thousand, four hundred one".

Divisors: 1 11 107 1177 70313 773443 7523491 82758401