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9952943 = 7111361163
BaseRepresentation
bin100101111101…
…111010101111
3200201122212112
4211331322233
510021443233
6553154235
7150412220
oct45757257
920648775
109952943
115688880
1233bb97b
1320a6320
141471247
15d19048
hex97deaf

9952943 has 32 divisors (see below), whose sum is σ = 13665792. Its totient is φ = 6998400.

The previous prime is 9952931. The next prime is 9952949. The reversal of 9952943 is 3492599.

It is a cyclic number.

It is not a de Polignac number, because 9952943 - 212 = 9948847 is a prime.

It is a super-2 number, since 2×99529432 = 198122148722498, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9952943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9952949) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 60980 + ... + 61142.

It is an arithmetic number, because the mean of its divisors is an integer number (427056).

Almost surely, 29952943 is an apocalyptic number.

9952943 is a deficient number, since it is larger than the sum of its proper divisors (3712849).

9952943 is a wasteful number, since it uses less digits than its factorization.

9952943 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255.

The product of its digits is 87480, while the sum is 41.

The square root of 9952943 is about 3154.8285214889. The cubic root of 9952943 is about 215.1050000916.

The spelling of 9952943 in words is "nine million, nine hundred fifty-two thousand, nine hundred forty-three".

Divisors: 1 7 11 13 61 77 91 143 163 427 671 793 1001 1141 1793 2119 4697 5551 8723 9943 12551 14833 23309 61061 69601 109373 129259 163163 765611 904813 1421849 9952943