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93367968 = 2531396997
BaseRepresentation
bin1011001000010…
…10111010100000
320111200120202220
411210022322200
5142400233333
613133111040
72212420551
oct544127240
9214616686
1093367968
1148781811
1227328480
1316460c25
14c586328
1582e48b3
hex590aea0

93367968 has 48 divisors (see below), whose sum is σ = 246889440. Its totient is φ = 30894336.

The previous prime is 93367951. The next prime is 93367973. The reversal of 93367968 is 86976339.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 93367968.

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 7 ways as a sum of consecutive naturals, for example, 9846 + ... + 16842.

It is an arithmetic number, because the mean of its divisors is an integer number (5143530).

Almost surely, 293367968 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 93367968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123444720).

93367968 is an abundant number, since it is smaller than the sum of its proper divisors (153521472).

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

93367968 is a wasteful number, since it uses less digits than its factorization.

93367968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7149 (or 7141 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 51.

The square root of 93367968 is about 9662.7101788266. The cubic root of 93367968 is about 453.6622430442.

The spelling of 93367968 in words is "ninety-three million, three hundred sixty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 139 278 417 556 834 1112 1668 2224 3336 4448 6672 6997 13344 13994 20991 27988 41982 55976 83964 111952 167928 223904 335856 671712 972583 1945166 2917749 3890332 5835498 7780664 11670996 15561328 23341992 31122656 46683984 93367968