Search a number
-
+
83250756 = 22322312521
BaseRepresentation
bin1001111011001…
…00111001000100
312210122120120100
410331210321010
5132303011011
612132204100
72030422401
oct475447104
9183576510
1083250756
1142aa1586
1223a69630
131432ac04
14b0b12a8
157496d56
hex4f64e44

83250756 has 18 divisors (see below), whose sum is σ = 210439502. Its totient is φ = 27750240.

The previous prime is 83250749. The next prime is 83250763. The reversal of 83250756 is 65705238.

It is an interprime number because it is at equal distance from previous prime (83250749) and next prime (83250763).

It can be written as a sum of positive squares in only one way, i.e., 60840000 + 22410756 = 7800^2 + 4734^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2312521 = 83250756 / (8 + 3 + 2 + 5 + 0 + 7 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 83250756.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1156225 + ... + 1156296.

Almost surely, 283250756 is an apocalyptic number.

It is an amenable number.

83250756 is an abundant number, since it is smaller than the sum of its proper divisors (127188746).

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

83250756 is a wasteful number, since it uses less digits than its factorization.

83250756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312531 (or 2312526 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 83250756 is about 9124.1852238981. The cubic root of 83250756 is about 436.6459087958.

The spelling of 83250756 in words is "eighty-three million, two hundred fifty thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 2312521 4625042 6937563 9250084 13875126 20812689 27750252 41625378 83250756