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83058481 = 11171997241
BaseRepresentation
bin1001111001101…
…01111100110001
312210021210211001
410330311330301
5132230332411
612124122001
72025662002
oct474657461
9183253731
1083058481
1142980080
1223996301
131429153c
14b0611a9
157459dc1
hex4f35f31

83058481 has 32 divisors (see below), whose sum is σ = 102453120. Its totient is φ = 66355200.

The previous prime is 83058463. The next prime is 83058487. The reversal of 83058481 is 18485038.

It is a 4-Lehmer number, since φ(83058481) divides (83058481-1)4.

It is a cyclic number.

It is not a de Polignac number, because 83058481 - 211 = 83056433 is a prime.

It is a super-2 number, since 2×830584812 = 13797422532054722, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 83058481.

It is not an unprimeable number, because it can be changed into a prime (83058487) 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, 344521 + ... + 344761.

It is an arithmetic number, because the mean of its divisors is an integer number (3201660).

It is a Poulet number, since it divides 283058480-1.

Almost surely, 283058481 is an apocalyptic number.

It is an amenable number.

83058481 is a deficient number, since it is larger than the sum of its proper divisors (19394639).

83058481 is a wasteful number, since it uses less digits than its factorization.

83058481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385.

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 83058481 is about 9113.6425758310. The cubic root of 83058481 is about 436.3094921917.

The spelling of 83058481 in words is "eighty-three million, fifty-eight thousand, four hundred eighty-one".

Divisors: 1 11 17 19 97 187 209 241 323 1067 1649 1843 2651 3553 4097 4579 18139 20273 23377 31331 45067 50369 77843 257147 344641 397409 444163 856273 4371499 4885793 7550771 83058481