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83320842 = 231121743157
BaseRepresentation
bin1001111011101…
…10000000001010
312210210010201010
410331312000022
5132312231332
612133504350
72031133623
oct475660012
9183703633
1083320842
114303a200
1223aa20b6
1314353a97
14b0cca4a
1574ac9cc
hex4f7600a

83320842 has 96 divisors (see below), whose sum is σ = 199717056. Its totient is φ = 23063040.

The previous prime is 83320817. The next prime is 83320849. The reversal of 83320842 is 24802338.

It is not an unprimeable number, because it can be changed into a prime (83320849) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 530628 + ... + 530784.

It is an arithmetic number, because the mean of its divisors is an integer number (2080386).

Almost surely, 283320842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83320842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99858528).

83320842 is an abundant number, since it is smaller than the sum of its proper divisors (116396214).

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

83320842 is a wasteful number, since it uses less digits than its factorization.

83320842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 83320842 is about 9128.0250876079. The cubic root of 83320842 is about 436.7684069080.

The spelling of 83320842 in words is "eighty-three million, three hundred twenty thousand, eight hundred forty-two".

Divisors: 1 2 3 6 11 17 22 33 34 43 51 66 86 102 121 129 157 187 242 258 314 363 374 471 473 561 726 731 942 946 1122 1419 1462 1727 2057 2193 2669 2838 3454 4114 4386 5181 5203 5338 6171 6751 8007 8041 10362 10406 12342 13502 15609 16014 16082 18997 20253 24123 29359 31218 37994 40506 48246 56991 58718 74261 88077 88451 113982 114767 148522 176154 176902 222783 229534 265353 322949 344301 445566 530706 645898 688602 816871 968847 1262437 1633742 1937694 2450613 2524874 3787311 4901226 7574622 13886807 27773614 41660421 83320842