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969265152 = 2123226293
BaseRepresentation
bin111001110001011…
…101000000000000
32111112211202211100
4321301131000000
53441112441102
6240102414400
733006421632
oct7161350000
92445752740
10969265152
11458141289
12230731400
13125a6889b
1492a2aa52
155a15ea1c
hex39c5d000

969265152 has 78 divisors (see below), whose sum is σ = 2799864002. Its totient is φ = 323076096.

The previous prime is 969265151. The next prime is 969265159. The reversal of 969265152 is 251562969.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 967458816 + 1806336 = 31104^2 + 1344^2 .

It is a junction number, because it is equal to n+sod(n) for n = 969265098 and 969265107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (969265151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23718 + ... + 50010.

Almost surely, 2969265152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 969265152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399932001).

969265152 is an abundant number, since it is smaller than the sum of its proper divisors (1830598850).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

969265152 is a wasteful number, since it uses less digits than its factorization.

969265152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26323 (or 26298 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 969265152 is about 31133.0234959600. The cubic root of 969265152 is about 989.6482619447.

The spelling of 969265152 in words is "nine hundred sixty-nine million, two hundred sixty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 9216 12288 18432 26293 36864 52586 78879 105172 157758 210344 236637 315516 420688 473274 631032 841376 946548 1262064 1682752 1893096 2524128 3365504 3786192 5048256 6731008 7572384 10096512 13462016 15144768 20193024 26924032 30289536 40386048 53848064 60579072 80772096 107696128 121158144 161544192 242316288 323088384 484632576 969265152