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83449842 = 2373234143
BaseRepresentation
bin1001111100101…
…01011111110010
312211000200122220
410332111133302
5132330343332
612140341510
72032212000
oct476253762
9184020586
1083449842
1143118113
1223b44896
131439a708
14b123a70
1574d5d2c
hex4f957f2

83449842 has 128 divisors (see below), whose sum is σ = 212889600. Its totient is φ = 21732480.

The previous prime is 83449831. The next prime is 83449859. The reversal of 83449842 is 24894438.

It is a super-2 number, since 2×834498422 = 13927752259649928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 83449794 and 83449803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1940673 + ... + 1940715.

It is an arithmetic number, because the mean of its divisors is an integer number (1663200).

Almost surely, 283449842 is an apocalyptic number.

83449842 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 83449842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106444800).

83449842 is an abundant number, since it is smaller than the sum of its proper divisors (129439758).

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

83449842 is a wasteful number, since it uses less digits than its factorization.

83449842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 119 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 83449842 is about 9135.0885053184. The cubic root of 83449842 is about 436.9936969664.

The spelling of 83449842 in words is "eighty-three million, four hundred forty-nine thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 14 21 23 41 42 43 46 49 69 82 86 98 123 129 138 147 161 246 258 287 294 301 322 343 483 574 602 686 861 903 943 966 989 1029 1127 1722 1763 1806 1886 1978 2009 2058 2107 2254 2829 2967 3381 3526 4018 4214 5289 5658 5934 6027 6321 6601 6762 6923 7889 10578 12054 12341 12642 13202 13846 14063 14749 15778 19803 20769 23667 24682 28126 29498 37023 39606 40549 41538 42189 44247 46207 47334 48461 74046 81098 84378 86387 88494 92414 96922 121647 138621 145383 172774 243294 259161 277242 283843 290766 323449 339227 518322 567686 604709 646898 678454 851529 970347 1017681 1209418 1703058 1814127 1940694 1986901 2035362 3628254 3973802 5960703 11921406 13908307 27816614 41724921 83449842