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82557981 = 33111372029
BaseRepresentation
bin1001110101110…
…11110000011101
312202100101021000
410322323300131
5132113323411
612105300513
72021505552
oct472736035
9182311230
1082557981
1142669040
1223794739
131414779c
14ad70a29
1573ab956
hex4ebbc1d

82557981 has 32 divisors (see below), whose sum is σ = 134467200. Its totient is φ = 49645440.

The previous prime is 82557973. The next prime is 82557997. The reversal of 82557981 is 18975528.

It is a happy number.

82557981 is a `hidden beast` number, since 8 + 2 + 557 + 98 + 1 = 666.

It is not a de Polignac number, because 82557981 - 23 = 82557973 is a prime.

It is a super-2 number, since 2×825579812 = 13631640453592722, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82557931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39675 + ... + 41703.

It is an arithmetic number, because the mean of its divisors is an integer number (4202100).

Almost surely, 282557981 is an apocalyptic number.

It is an amenable number.

82557981 is a deficient number, since it is larger than the sum of its proper divisors (51909219).

82557981 is a wasteful number, since it uses less digits than its factorization.

82557981 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2180 counting only the distinct ones).

The product of its digits is 201600, while the sum is 45.

The square root of 82557981 is about 9086.1422507024. The cubic root of 82557981 is about 435.4313438406.

It can be divided in two parts, 82557 and 981, that added together give a palindrome (83538).

The spelling of 82557981 in words is "eighty-two million, five hundred fifty-seven thousand, nine hundred eighty-one".

Divisors: 1 3 9 11 27 33 99 137 297 411 1233 1507 2029 3699 4521 6087 13563 18261 22319 40689 54783 66957 200871 277973 602613 833919 2501757 3057703 7505271 9173109 27519327 82557981