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82575738 = 23274315241
BaseRepresentation
bin1001110110000…
…00000101111010
312202101021121200
410323000011322
5132114410423
612105515030
72021611410
oct473000572
9182337550
1082575738
1142680413
12237a2a76
13141528ab
14ad772b0
1573b1d43
hex4ec017a

82575738 has 48 divisors (see below), whose sum is σ = 209242176. Its totient is φ = 23042880.

The previous prime is 82575733. The next prime is 82575739. The reversal of 82575738 is 83757528.

82575738 is a `hidden beast` number, since 8 + 2 + 575 + 73 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 82575693 and 82575702.

It is not an unprimeable number, because it can be changed into a prime (82575733) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2203 + ... + 13038.

It is an arithmetic number, because the mean of its divisors is an integer number (4359212).

Almost surely, 282575738 is an apocalyptic number.

82575738 is an abundant number, since it is smaller than the sum of its proper divisors (126666438).

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

82575738 is a wasteful number, since it uses less digits than its factorization.

82575738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15299 (or 15296 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 82575738 is about 9087.1193455352. The cubic root of 82575738 is about 435.4625598821.

The spelling of 82575738 in words is "eighty-two million, five hundred seventy-five thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 126 129 258 301 387 602 774 903 1806 2709 5418 15241 30482 45723 91446 106687 137169 213374 274338 320061 640122 655363 960183 1310726 1920366 1966089 3932178 4587541 5898267 9175082 11796534 13762623 27525246 41287869 82575738