Search a number
-
+
75674142 = 23353137193
BaseRepresentation
bin1001000001010…
…11001000011110
312021101122102000
410200223020132
5123333033032
611301543130
71606135215
oct440531036
9167348360
1075674142
1139797115
1221414aa6
13128a73cb
14a09c07c
15699be7c
hex482b21e

75674142 has 64 divisors (see below), whose sum is σ = 173482560. Its totient is φ = 24440832.

The previous prime is 75674113. The next prime is 75674147. The reversal of 75674142 is 24147657.

It is a junction number, because it is equal to n+sod(n) for n = 75674097 and 75674106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75674147) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 391998 + ... + 392190.

It is an arithmetic number, because the mean of its divisors is an integer number (2710665).

Almost surely, 275674142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75674142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86741280).

75674142 is an abundant number, since it is smaller than the sum of its proper divisors (97808418).

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

75674142 is a wasteful number, since it uses less digits than its factorization.

75674142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 388 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 75674142 is about 8699.0885729483. The cubic root of 75674142 is about 422.9761064920.

The spelling of 75674142 in words is "seventy-five million, six hundred seventy-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 53 54 106 137 159 193 274 318 386 411 477 579 822 954 1158 1233 1431 1737 2466 2862 3474 3699 5211 7261 7398 10229 10422 14522 20458 21783 26441 30687 43566 52882 61374 65349 79323 92061 130698 158646 184122 196047 237969 276183 392094 475938 552366 713907 1401373 1427814 2802746 4204119 8408238 12612357 25224714 37837071 75674142