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93664242 = 2337372181
BaseRepresentation
bin1011001010100…
…11001111110010
320112020122012000
411211103033302
5142434223432
613143314430
72215063410
oct545231762
9215218160
1093664242
1148964371
122744ba16
1316535a39
14c6222b0
15835257c
hex59533f2

93664242 has 96 divisors (see below), whose sum is σ = 245831040. Its totient is φ = 25894080.

The previous prime is 93664199. The next prime is 93664247. The reversal of 93664242 is 24246639.

93664242 is a `hidden beast` number, since 9 + 3 + 6 + 642 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 93664197 and 93664206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93664247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 517392 + ... + 517572.

It is an arithmetic number, because the mean of its divisors is an integer number (2560740).

Almost surely, 293664242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93664242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122915520).

93664242 is an abundant number, since it is smaller than the sum of its proper divisors (152166798).

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

93664242 is a wasteful number, since it uses less digits than its factorization.

93664242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 230 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 93664242 is about 9678.0288282274. The cubic root of 93664242 is about 454.1415880587.

The spelling of 93664242 in words is "ninety-three million, six hundred sixty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 111 126 181 189 222 259 333 362 378 518 543 666 777 999 1086 1267 1369 1554 1629 1998 2331 2534 2738 3258 3801 4107 4662 4887 6697 6993 7602 8214 9583 9774 11403 12321 13394 13986 19166 20091 22806 24642 28749 34209 36963 40182 46879 57498 60273 68418 73926 86247 93758 120546 140637 172494 180819 247789 258741 281274 361638 421911 495578 517482 743367 843822 1265733 1486734 1734523 2230101 2531466 3469046 4460202 5203569 6690303 10407138 13380606 15610707 31221414 46832121 93664242