Search a number
-
+
193456242 = 23372512039
BaseRepresentation
bin10111000011111…
…10100001110010
3111111000121002000
423201332201302
5344011044432
631110234430
74536231240
oct1341764162
9444017060
10193456242
119a2235a1
1254955a16
1331105965
141b99b790
1511eb557c
hexb87e872

193456242 has 64 divisors (see below), whose sum is σ = 493516800. Its totient is φ = 55026000.

The previous prime is 193456231. The next prime is 193456247. The reversal of 193456242 is 242654391.

It is a happy number.

193456242 is a `hidden beast` number, since 1 + 93 + 4 + 562 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 193456197 and 193456206.

It is not an unprimeable number, because it can be changed into a prime (193456247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93859 + ... + 95897.

It is an arithmetic number, because the mean of its divisors is an integer number (7711200).

Almost surely, 2193456242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193456242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246758400).

193456242 is an abundant number, since it is smaller than the sum of its proper divisors (300060558).

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

193456242 is a wasteful number, since it uses less digits than its factorization.

193456242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308 (or 2302 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 193456242 is about 13908.8548054827. The cubic root of 193456242 is about 578.3546731065.

The spelling of 193456242 in words is "one hundred ninety-three million, four hundred fifty-six thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 251 378 502 753 1506 1757 2039 2259 3514 4078 4518 5271 6117 6777 10542 12234 13554 14273 15813 18351 28546 31626 36702 42819 47439 55053 85638 94878 110106 128457 256914 385371 511789 770742 1023578 1535367 3070734 3582523 4606101 7165046 9212202 10747569 13818303 21495138 27636606 32242707 64485414 96728121 193456242