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5952365056 = 291131103331
BaseRepresentation
bin1011000101100100…
…11110001000000000
3120100211102110211001
411202302132020000
544142301140211
62422351501344
7300335160661
oct54262361000
916324373731
105952365056
112584a55a70
1211a1527854
1373b25b001
1440676d368
1524c878ac1
hex162c9e200

5952365056 has 160 divisors (see below), whose sum is σ = 13563703296. Its totient is φ = 2585088000.

The previous prime is 5952365039. The next prime is 5952365059. The reversal of 5952365056 is 6505632595.

It is a junction number, because it is equal to n+sod(n) for n = 5952364997 and 5952365015.

It is not an unprimeable number, because it can be changed into a prime (5952365059) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17982811 + ... + 17983141.

Almost surely, 25952365056 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 5952365056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6781851648).

5952365056 is an abundant number, since it is smaller than the sum of its proper divisors (7611338240).

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

5952365056 is a wasteful number, since it uses less digits than its factorization.

5952365056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 1215000, while the sum is 46.

The square root of 5952365056 is about 77151.5719606542. The cubic root of 5952365056 is about 1812.2990083649.

The spelling of 5952365056 in words is "five billion, nine hundred fifty-two million, three hundred sixty-five thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 103 124 128 176 206 248 256 331 341 352 412 496 512 662 682 704 824 992 1133 1324 1364 1408 1648 1984 2266 2648 2728 2816 3193 3296 3641 3968 4532 5296 5456 5632 6386 6592 7282 7936 9064 10261 10592 10912 12772 13184 14564 15872 18128 20522 21184 21824 25544 26368 29128 34093 35123 36256 41044 42368 43648 51088 52736 58256 68186 70246 72512 82088 84736 87296 102176 112871 116512 136372 140492 145024 164176 169472 174592 204352 225742 233024 272744 280984 290048 328352 375023 408704 451484 466048 545488 561968 580096 656704 750046 817408 902968 932096 1056883 1090976 1123936 1313408 1500092 1634816 1805936 1864192 2113766 2181952 2247872 2626816 3000184 3611872 4227532 4363904 4495744 5253632 6000368 7223744 8455064 8727808 8991488 11625713 12000736 14447488 16910128 17455616 17982976 23251426 24001472 28894976 33820256 46502852 48002944 57789952 67640512 93005704 96005888 135281024 186011408 192011776 270562048 372022816 541124096 744045632 1488091264 2976182528 5952365056