Search a number
-
+
75193950 = 23521338561
BaseRepresentation
bin1000111101101…
…01111001011110
312020111020201010
410132311321132
5123222201300
611243400050
71602065226
oct436657136
9166436633
1075193950
1139499367
1221223026
1312769980
149db5086
156904a50
hex47b5e5e

75193950 has 48 divisors (see below), whose sum is σ = 200830896. Its totient is φ = 18508800.

The previous prime is 75193939. The next prime is 75193961. The reversal of 75193950 is 5939157.

It is an interprime number because it is at equal distance from previous prime (75193939) and next prime (75193961).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 75193899 and 75193908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17331 + ... + 21230.

It is an arithmetic number, because the mean of its divisors is an integer number (4183977).

Almost surely, 275193950 is an apocalyptic number.

75193950 is an abundant number, since it is smaller than the sum of its proper divisors (125636946).

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

75193950 is a wasteful number, since it uses less digits than its factorization.

75193950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38589 (or 38584 counting only the distinct ones).

The product of its (nonzero) digits is 42525, while the sum is 39.

The square root of 75193950 is about 8671.4445163421. Note that the first 3 decimals coincide. The cubic root of 75193950 is about 422.0795392252.

The spelling of 75193950 in words is "seventy-five million, one hundred ninety-three thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 390 650 975 1950 38561 77122 115683 192805 231366 385610 501293 578415 964025 1002586 1156830 1503879 1928050 2506465 2892075 3007758 5012930 5784150 7519395 12532325 15038790 25064650 37596975 75193950