Search a number
-
+
93542985 = 3351936469
BaseRepresentation
bin1011001001101…
…01101001001001
320112000110212000
411210311221021
5142421333420
613140541213
72214050034
oct544655111
9215013760
1093542985
1148891258
12273b1809
13164c27a3
14c5d001b
15832b690
hex5935a49

93542985 has 32 divisors (see below), whose sum is σ = 175056000. Its totient is φ = 47262528.

The previous prime is 93542941. The next prime is 93542989. The reversal of 93542985 is 58924539.

93542985 is a `hidden beast` number, since 9 + 354 + 298 + 5 = 666.

It is not a de Polignac number, because 93542985 - 218 = 93280841 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 93542985.

It is not an unprimeable number, because it can be changed into a prime (93542989) 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 31 ways as a sum of consecutive naturals, for example, 15670 + ... + 20799.

It is an arithmetic number, because the mean of its divisors is an integer number (5470500).

Almost surely, 293542985 is an apocalyptic number.

93542985 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

93542985 is a deficient number, since it is larger than the sum of its proper divisors (81513015).

93542985 is a wasteful number, since it uses less digits than its factorization.

93542985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36502 (or 36496 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 93542985 is about 9671.7622489389. The cubic root of 93542985 is about 453.9455273709.

The spelling of 93542985 in words is "ninety-three million, five hundred forty-two thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 19 27 45 57 95 135 171 285 513 855 2565 36469 109407 182345 328221 547035 692911 984663 1641105 2078733 3464555 4923315 6236199 10393665 18708597 31180995 93542985