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58033085 = 51131101337
BaseRepresentation
bin1101110101100…
…0001110111101
311001012101102112
43131120032331
5104324024320
65431503405
71303162445
oct335301675
9131171375
1058033085
112a838130
1217527b65
13c03b906
1479c9125
155164ec5
hex37583bd

58033085 has 32 divisors (see below), whose sum is σ = 79432704. Its totient is φ = 40320000.

The previous prime is 58033061. The next prime is 58033091.

58033085 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 58033085 - 214 = 58016701 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172037 + ... + 172373.

It is an arithmetic number, because the mean of its divisors is an integer number (2482272).

Almost surely, 258033085 is an apocalyptic number.

58033085 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

58033085 is a deficient number, since it is larger than the sum of its proper divisors (21399619).

58033085 is a wasteful number, since it uses less digits than its factorization.

58033085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485.

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 58033085 is about 7617.9449328543. The cubic root of 58033085 is about 387.1612523444.

It can be divided in two parts, 5803 and 3085, that added together give a palindrome (8888).

The spelling of 58033085 in words is "fifty-eight million, thirty-three thousand, eighty-five".

Divisors: 1 5 11 31 55 101 155 337 341 505 1111 1685 1705 3131 3707 5555 10447 15655 18535 34037 34441 52235 114917 170185 172205 374407 574585 1055147 1872035 5275735 11606617 58033085