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93240096 = 253971251
BaseRepresentation
bin1011000111010…
…11101100100000
320111110002100220
411203223230200
5142332140341
613130243040
72211346005
oct543535440
9214402326
1093240096
11486a4734
1227286480
1316417971
14c5518ac
1582bba66
hex58ebb20

93240096 has 24 divisors (see below), whose sum is σ = 244755504. Its totient is φ = 31080000.

The previous prime is 93240083. The next prime is 93240097. The reversal of 93240096 is 69004239.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (93240097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 485530 + ... + 485721.

It is an arithmetic number, because the mean of its divisors is an integer number (10198146).

Almost surely, 293240096 is an apocalyptic number.

93240096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

93240096 is an abundant number, since it is smaller than the sum of its proper divisors (151515408).

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

93240096 is a wasteful number, since it uses less digits than its factorization.

93240096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971264 (or 971256 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 93240096 is about 9656.0911346155. The cubic root of 93240096 is about 453.4550442137.

The spelling of 93240096 in words is "ninety-three million, two hundred forty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 971251 1942502 2913753 3885004 5827506 7770008 11655012 15540016 23310024 31080032 46620048 93240096