Search a number
-
+
82768572 = 22324874721
BaseRepresentation
bin1001110111011…
…11001010111100
312202202002010200
410323233022330
5132142043242
612114003500
72023343535
oct473571274
9182662120
1082768572
11427a2287
1223876590
13141bc5b3
14adc768c
1573ee04c
hex4eef2bc

82768572 has 36 divisors (see below), whose sum is σ = 209694576. Its totient is φ = 27527040.

The previous prime is 82768571. The next prime is 82768573. The reversal of 82768572 is 27586728.

82768572 is a `hidden beast` number, since 8 + 2 + 76 + 8 + 572 = 666.

It is an interprime number because it is at equal distance from previous prime (82768571) and next prime (82768573).

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82768571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15172 + ... + 19892.

Almost surely, 282768572 is an apocalyptic number.

It is an amenable number.

82768572 is an abundant number, since it is smaller than the sum of its proper divisors (126926004).

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

82768572 is a wasteful number, since it uses less digits than its factorization.

82768572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5218 (or 5213 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 82768572 is about 9097.7234515015. The cubic root of 82768572 is about 435.8012659360.

The spelling of 82768572 in words is "eighty-two million, seven hundred sixty-eight thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 487 974 1461 1948 2922 4383 4721 5844 8766 9442 14163 17532 18884 28326 42489 56652 84978 169956 2299127 4598254 6897381 9196508 13794762 20692143 27589524 41384286 82768572