Search a number
-
+
1933417242 = 233177272897
BaseRepresentation
bin111001100111101…
…1001101100011010
311222202001202212000
41303033121230122
512424423322432
6515503501430
765624526651
oct16317315432
94882052760
101933417242
119023aaa99
1245b5b7876
1324a734093
14144ac6198
15b4b0e57c
hex733d9b1a

1933417242 has 64 divisors (see below), whose sum is σ = 4557047040. Its totient is φ = 605518848.

The previous prime is 1933417201. The next prime is 1933417243. The reversal of 1933417242 is 2427143391.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1933417197 and 1933417206.

It is not an unprimeable number, because it can be changed into a prime (1933417243) 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, 665938 + ... + 668834.

It is an arithmetic number, because the mean of its divisors is an integer number (71203860).

Almost surely, 21933417242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1933417242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278523520).

1933417242 is an abundant number, since it is smaller than the sum of its proper divisors (2623629798).

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

1933417242 is a wasteful number, since it uses less digits than its factorization.

1933417242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3652 (or 3646 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 1933417242 is about 43970.6406821643. The cubic root of 1933417242 is about 1245.7814574279.

The spelling of 1933417242 in words is "one billion, nine hundred thirty-three million, four hundred seventeen thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 727 918 1454 2181 2897 4362 5794 6543 8691 12359 13086 17382 19629 24718 26073 37077 39258 49249 52146 74154 78219 98498 111231 147747 156438 222462 295494 333693 443241 667386 886482 1329723 2106119 2659446 4212238 6318357 12636714 18955071 35804023 37910142 56865213 71608046 107412069 113730426 214824138 322236207 644472414 966708621 1933417242