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949934041 = 74172372
BaseRepresentation
bin111000100111101…
…101011111011001
32110012110122112021
4320213231133121
53421140342131
6234132214441
732353210000
oct7047553731
92405418467
10949934041
11448238561
1222616a421
13121a5aa64
1490237c37
15585e1e11
hex389ed7d9

949934041 has 45 divisors (see below), whose sum is σ = 1209889149. Its totient is φ = 745621632.

The previous prime is 949934021. The next prime is 949934047. The reversal of 949934041 is 140439949.

It is a happy number.

The square root of 949934041 is 30821.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 441882441 + 508051600 = 21021^2 + 22540^2 .

It is not a de Polignac number, because 949934041 - 25 = 949934009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (949934047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 25673875 + ... + 25673911.

Almost surely, 2949934041 is an apocalyptic number.

949934041 is the 30821-st square number.

949934041 is the 15411-st centered octagonal number.

It is an amenable number.

949934041 is a deficient number, since it is larger than the sum of its proper divisors (259955108).

949934041 is an frugal number, since it uses more digits than its factorization.

949934041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The cubic root of 949934041 is about 983.0248207949.

The spelling of 949934041 in words is "nine hundred forty-nine million, nine hundred thirty-four thousand, forty-one".

Divisors: 1 7 17 37 49 119 259 289 343 629 833 1369 1813 2023 2401 4403 5831 9583 10693 12691 14161 23273 30821 40817 67081 74851 88837 99127 162911 215747 395641 469567 523957 693889 1140377 1510229 2769487 3286969 3667699 7982639 19386409 25673893 55878473 135704863 949934041