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969132825 = 325253181449
BaseRepresentation
bin111001110000111…
…100101100011001
32111112121001022100
4321300330230121
53441044222300
6240055514013
733005331063
oct7160745431
92445531270
10969132825
11458060921
12230688909
13125a2059b
14929d4733
155a135700
hex39c3cb19

969132825 has 72 divisors (see below), whose sum is σ = 1782307800. Its totient is φ = 503193600.

The previous prime is 969132799. The next prime is 969132841. The reversal of 969132825 is 528231969.

It can be written as a sum of positive squares in 12 ways, for example, as 406304649 + 562828176 = 20157^2 + 23724^2 .

It is not a de Polignac number, because 969132825 - 28 = 969132569 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2158201 + ... + 2158649.

It is an arithmetic number, because the mean of its divisors is an integer number (24754275).

Almost surely, 2969132825 is an apocalyptic number.

It is an amenable number.

969132825 is a deficient number, since it is larger than the sum of its proper divisors (813174975).

969132825 is a wasteful number, since it uses less digits than its factorization.

969132825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 691 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 969132825 is about 31130.8982363182. The cubic root of 969132825 is about 989.6032233072.

The spelling of 969132825 in words is "nine hundred sixty-nine million, one hundred thirty-two thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 53 75 159 181 225 265 449 477 543 795 905 1325 1347 1629 2245 2385 2715 3975 4041 4525 6735 8145 9593 11225 11925 13575 20205 23797 28779 33675 40725 47965 71391 81269 86337 101025 118985 143895 214173 239825 243807 356955 406345 431685 594925 719475 731421 1070865 1219035 1784775 2031725 2158425 3657105 4307257 5354325 6095175 12921771 18285525 21536285 38765313 64608855 107681425 193826565 323044275 969132825