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84450968 = 23717432063
BaseRepresentation
bin1010000100010…
…01111010011000
312212220112221122
411002021322120
5133104412333
612214024412
72043551510
oct502117230
9185815848
1084450968
1143741298
1224348108
131465b2b4
14b304840
157632798
hex5089e98

84450968 has 64 divisors (see below), whose sum is σ = 196162560. Its totient is φ = 33255936.

The previous prime is 84450931. The next prime is 84450973. The reversal of 84450968 is 86905448.

It is a happy number.

It is a super-2 number, since 2×844509682 = 14263931992274048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39905 + ... + 41967.

It is an arithmetic number, because the mean of its divisors is an integer number (3065040).

Almost surely, 284450968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84450968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98081280).

84450968 is an abundant number, since it is smaller than the sum of its proper divisors (111711592).

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

84450968 is a wasteful number, since it uses less digits than its factorization.

84450968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The square root of 84450968 is about 9189.7207792185. The cubic root of 84450968 is about 438.7342548929.

The spelling of 84450968 in words is "eighty-four million, four hundred fifty thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 17 28 34 43 56 68 86 119 136 172 238 301 344 476 602 731 952 1204 1462 2063 2408 2924 4126 5117 5848 8252 10234 14441 16504 20468 28882 35071 40936 57764 70142 88709 115528 140284 177418 245497 280568 354836 490994 620963 709672 981988 1241926 1508053 1963976 2483852 3016106 4967704 6032212 10556371 12064424 21112742 42225484 84450968