Search a number
-
+
82253997 = 327237712
BaseRepresentation
bin1001110011100…
…01100010101101
312201202221021100
410321301202231
5132024111442
612054553313
72016101400
oct471614255
9181687240
1082253997
1142480711
1223668839
131406c307
14acd1d37
15734b84c
hex4e718ad

82253997 has 54 divisors (see below), whose sum is σ = 143971854. Its totient is φ = 45087840.

The previous prime is 82253989. The next prime is 82253999. The reversal of 82253997 is 79935228.

82253997 is a `hidden beast` number, since 8 + 22 + 539 + 97 = 666.

It can be written as a sum of positive squares in only one way, i.e., 80030916 + 2223081 = 8946^2 + 1491^2 .

It is not a de Polignac number, because 82253997 - 23 = 82253989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82253999) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1158472 + ... + 1158542.

Almost surely, 282253997 is an apocalyptic number.

It is an amenable number.

82253997 is a deficient number, since it is larger than the sum of its proper divisors (61717857).

82253997 is a wasteful number, since it uses less digits than its factorization.

82253997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 118 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 82253997 is about 9069.3989326746. The cubic root of 82253997 is about 434.8962574643.

The spelling of 82253997 in words is "eighty-two million, two hundred fifty-three thousand, nine hundred ninety-seven".

Divisors: 1 3 7 9 21 37 49 63 71 111 147 213 259 333 441 497 639 777 1491 1813 2331 2627 3479 4473 5041 5439 7881 10437 15123 16317 18389 23643 31311 35287 45369 55167 105861 128723 165501 186517 247009 317583 386169 559551 741027 1158507 1305619 1678653 2223081 3916857 9139333 11750571 27417999 82253997