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961051793 = 132291571249
BaseRepresentation
bin111001010010000…
…111110010010001
32110222101111012212
4321102013302101
53432012124133
6235210401505
732546543162
oct7122076221
92428344185
10961051793
11453541489
12229a30295
13124151300
14918cd769
155958b148
hex39487c91

961051793 has 24 divisors (see below), whose sum is σ = 1084275000. Its totient is φ = 850397184.

The previous prime is 961051759. The next prime is 961051829. The reversal of 961051793 is 397150169.

It can be written as a sum of positive squares in 12 ways, for example, as 611473984 + 349577809 = 24728^2 + 18697^2 .

It is not a de Polignac number, because 961051793 - 224 = 944274577 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 961051793.

It is not an unprimeable number, because it can be changed into a prime (961051733) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 768833 + ... + 770081.

It is an arithmetic number, because the mean of its divisors is an integer number (45178125).

Almost surely, 2961051793 is an apocalyptic number.

It is an amenable number.

961051793 is a deficient number, since it is larger than the sum of its proper divisors (123223207).

961051793 is a wasteful number, since it uses less digits than its factorization.

961051793 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 41.

The square root of 961051793 is about 31000.8353597125. The cubic root of 961051793 is about 986.8449683223.

The spelling of 961051793 in words is "nine hundred sixty-one million, fifty-one thousand, seven hundred ninety-three".

Divisors: 1 13 29 157 169 377 1249 2041 4553 4901 16237 26533 36221 59189 196093 211081 470873 769457 2549209 5686697 6121349 33139717 73927061 961051793