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5709287952 = 2432734671163
BaseRepresentation
bin1010101000100110…
…01101001000010000
3112201220000212201100
411110103031020100
543143034203302
62342305504400
7261324101244
oct52423151020
915656025640
105709287952
11246a8205a5
121134042100
136ccaa06c4
143c2376424
15236360d1c
hex1544cd210

5709287952 has 120 divisors (see below), whose sum is σ = 16245594144. Its totient is φ = 1871396352.

The previous prime is 5709287933. The next prime is 5709287957. The reversal of 5709287952 is 2597829075.

It is not an unprimeable number, because it can be changed into a prime (5709287957) 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, 4908523 + ... + 4909685.

Almost surely, 25709287952 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 5709287952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8122797072).

5709287952 is an abundant number, since it is smaller than the sum of its proper divisors (10536306192).

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

5709287952 is a wasteful number, since it uses less digits than its factorization.

5709287952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The square root of 5709287952 is about 75559.8302803811. The cubic root of 5709287952 is about 1787.2857078072.

The spelling of 5709287952 in words is "five billion, seven hundred nine million, two hundred eighty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 467 584 657 876 934 1163 1168 1314 1401 1752 1868 2326 2628 2802 3489 3504 3736 4203 4652 5256 5604 6978 7472 8406 9304 10467 10512 11208 13956 16812 18608 20934 22416 27912 33624 34091 41868 55824 67248 68182 83736 84899 102273 136364 167472 169798 204546 254697 272728 306819 339596 409092 509394 543121 545456 613638 679192 764091 818184 1018788 1086242 1227276 1358384 1528182 1629363 1636368 2037576 2172484 2454552 3056364 3258726 4075152 4344968 4888089 4909104 6112728 6517452 8689936 9776178 12225456 13034904 19552356 26069808 39104712 39647833 78209424 79295666 118943499 158591332 237886998 317182664 356830497 475773996 634365328 713660994 951547992 1427321988 1903095984 2854643976 5709287952