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83414058 = 23713374129
BaseRepresentation
bin1001111100011…
…00110000101010
312210221212120120
410332030300222
5132323222213
612135504110
72032002450
oct476146052
9183855516
1083414058
11430a3242
1223b28036
1314387340
14b1149d0
1574ca423
hex4f8cc2a

83414058 has 64 divisors (see below), whose sum is σ = 210927360. Its totient is φ = 21399552.

The previous prime is 83414057. The next prime is 83414059. The reversal of 83414058 is 85041438.

It is an interprime number because it is at equal distance from previous prime (83414057) and next prime (83414059).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (83414057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18138 + ... + 22266.

It is an arithmetic number, because the mean of its divisors is an integer number (3295740).

Almost surely, 283414058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83414058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105463680).

83414058 is an abundant number, since it is smaller than the sum of its proper divisors (127513302).

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

83414058 is a wasteful number, since it uses less digits than its factorization.

83414058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4191.

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 83414058 is about 9133.1296935935. The cubic root of 83414058 is about 436.9312258350.

The spelling of 83414058 in words is "eighty-three million, four hundred fourteen thousand, fifty-eight".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 74 78 91 111 182 222 259 273 481 518 546 777 962 1443 1554 2886 3367 4129 6734 8258 10101 12387 20202 24774 28903 53677 57806 86709 107354 152773 161031 173418 305546 322062 375739 458319 751478 916638 1069411 1127217 1986049 2138822 2254434 3208233 3972098 5958147 6416466 11916294 13902343 27804686 41707029 83414058