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969923052 = 22337326183
BaseRepresentation
bin111001110011111…
…101100111101100
32111121002012022000
4321303331213230
53441300014202
6240124452300
733015132000
oct7163754754
92447065260
10969923052
114585505aa
122309aa090
13125c39187
1492b5c700
155a23e91c
hex39cfd9ec

969923052 has 96 divisors (see below), whose sum is σ = 2932608000. Its totient is φ = 277110288.

The previous prime is 969923051. The next prime is 969923063. The reversal of 969923052 is 250329969.

It is a junction number, because it is equal to n+sod(n) for n = 969922989 and 969923007.

It is not an unprimeable number, because it can be changed into a prime (969923051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23953 + ... + 50135.

It is an arithmetic number, because the mean of its divisors is an integer number (30548000).

Almost surely, 2969923052 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 969923052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466304000).

969923052 is an abundant number, since it is smaller than the sum of its proper divisors (1962684948).

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

969923052 is a wasteful number, since it uses less digits than its factorization.

969923052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26217 (or 26195 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 969923052 is about 31143.5876546040. The cubic root of 969923052 is about 989.8721230606.

The spelling of 969923052 in words is "nine hundred sixty-nine million, nine hundred twenty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 343 378 441 588 686 756 882 1029 1323 1372 1764 2058 2646 3087 4116 5292 6174 9261 12348 18522 26183 37044 52366 78549 104732 157098 183281 235647 314196 366562 471294 549843 706941 733124 942588 1099686 1282967 1413882 1649529 2199372 2565934 2827764 3299058 3848901 4948587 5131868 6598116 7697802 8980769 9897174 11546703 15395604 17961538 19794348 23093406 26942307 34640109 35923076 46186812 53884614 69280218 80826921 107769228 138560436 161653842 242480763 323307684 484961526 969923052