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84393712 = 24131729823
BaseRepresentation
bin1010000011110…
…11111011110000
312212210122102001
411001323323300
5133101044322
612212503344
72043222544
oct501737360
9185718361
1084393712
1143702277
122431ab54
131463b210
14b2cba24
157620827
hex507bef0

84393712 has 80 divisors (see below), whose sum is σ = 193112640. Its totient is φ = 35352576.

The previous prime is 84393697. The next prime is 84393719. The reversal of 84393712 is 21739348.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84393719) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102133 + ... + 102955.

It is an arithmetic number, because the mean of its divisors is an integer number (2413908).

Almost surely, 284393712 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 84393712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96556320).

84393712 is an abundant number, since it is smaller than the sum of its proper divisors (108718928).

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

84393712 is a wasteful number, since it uses less digits than its factorization.

84393712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 884 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The square root of 84393712 is about 9186.6050312398. The cubic root of 84393712 is about 438.6350815768.

The spelling of 84393712 in words is "eighty-four million, three hundred ninety-three thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 16 17 26 29 34 52 58 68 104 116 136 208 221 232 272 377 442 464 493 754 823 884 986 1508 1646 1768 1972 3016 3292 3536 3944 6032 6409 6584 7888 10699 12818 13168 13991 21398 23867 25636 27982 42796 47734 51272 55964 85592 95468 102544 111928 171184 181883 190936 223856 310271 363766 381872 405739 620542 727532 811478 1241084 1455064 1622956 2482168 2910128 3245912 4964336 5274607 6491824 10549214 21098428 42196856 84393712