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93243168 = 25325692
BaseRepresentation
bin1011000111011…
…00011100100000
320111110020120200
411203230130200
5142332240133
613130305200
72211360654
oct543543440
9214406520
1093243168
11486a6a77
1227288200
1316419195
14c552a64
1582bc913
hex58ec720

93243168 has 54 divisors (see below), whose sum is σ = 265627089. Its totient is φ = 31026432.

The previous prime is 93243167. The next prime is 93243169. The reversal of 93243168 is 86134239.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (93243167) and next prime (93243169).

It can be written as a sum of positive squares in 2 ways, for example, as 81216144 + 12027024 = 9012^2 + 3468^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=6828.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (93243167) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 163588 + ... + 164156.

Almost surely, 293243168 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 93243168

93243168 is an abundant number, since it is smaller than the sum of its proper divisors (172383921).

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

93243168 is an equidigital number, since it uses as much as digits as its factorization.

93243168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 574 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 93243168 is about 9656.2502038835. The cubic root of 93243168 is about 453.4600241835.

It can be divided in two parts, 932 and 43168, that added together give a square (44100 = 2102).

The spelling of 93243168 in words is "ninety-three million, two hundred forty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 569 1138 1707 2276 3414 4552 5121 6828 9104 10242 13656 18208 20484 27312 40968 54624 81936 163872 323761 647522 971283 1295044 1942566 2590088 2913849 3885132 5180176 5827698 7770264 10360352 11655396 15540528 23310792 31081056 46621584 93243168