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9952461 = 323133533
BaseRepresentation
bin100101111101…
…110011001101
3200201122012200
4211331303031
510021434321
6553152113
7150410631
oct45756315
920648180
109952461
115688482
1233bb639
1320a603c
141470dc1
15d18d26
hex97dccd

9952461 has 12 divisors (see below), whose sum is σ = 14425788. Its totient is φ = 6611904.

The previous prime is 9952441. The next prime is 9952469. The reversal of 9952461 is 1642599.

It can be written as a sum of positive squares in 2 ways, for example, as 3218436 + 6734025 = 1794^2 + 2595^2 .

It is a de Polignac number, because none of the positive numbers 2k-9952461 is a prime.

9952461 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9952469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1051 + ... + 4583.

It is an arithmetic number, because the mean of its divisors is an integer number (1202149).

Almost surely, 29952461 is an apocalyptic number.

It is an amenable number.

9952461 is a deficient number, since it is larger than the sum of its proper divisors (4473327).

9952461 is a wasteful number, since it uses less digits than its factorization.

9952461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3852 (or 3849 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 9952461 is about 3154.7521297243. The cubic root of 9952461 is about 215.1015276753.

The spelling of 9952461 in words is "nine million, nine hundred fifty-two thousand, four hundred sixty-one".

Divisors: 1 3 9 313 939 2817 3533 10599 31797 1105829 3317487 9952461