Search a number
-
+
41950968 = 23317229449
BaseRepresentation
bin1010000000000…
…1111011111000
32220221022220120
42200001323320
541214412333
64055053240
71016402013
oct240017370
986838816
1041950968
1121753424
1212071220
1388ca877
14580037a
153a39db3
hex2801ef8

41950968 has 64 divisors (see below), whose sum is σ = 111780000. Its totient is φ = 13074432.

The previous prime is 41950963. The next prime is 41950969. The reversal of 41950968 is 86905914.

It is a super-2 number, since 2×419509682 = 3519767432274048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41950963) 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 15 ways as a sum of consecutive naturals, for example, 93208 + ... + 93656.

Almost surely, 241950968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41950968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55890000).

41950968 is an abundant number, since it is smaller than the sum of its proper divisors (69829032).

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

41950968 is a wasteful number, since it uses less digits than its factorization.

41950968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 41950968 is about 6476.9566927686. The cubic root of 41950968 is about 347.4673447222.

The spelling of 41950968 in words is "forty-one million, nine hundred fifty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 229 408 449 458 687 898 916 1347 1374 1796 1832 2694 2748 3592 3893 5388 5496 7633 7786 10776 11679 15266 15572 22899 23358 30532 31144 45798 46716 61064 91596 93432 102821 183192 205642 308463 411284 616926 822568 1233852 1747957 2467704 3495914 5243871 6991828 10487742 13983656 20975484 41950968