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5256716760 = 2332591915889
BaseRepresentation
bin1001110010101001…
…10010000111011000
3111120100102212202100
410321110302013120
541231204414020
62225341403400
7244160232561
oct47124620730
914510385670
105256716760
112258309119
121028569560
1365a0b35b9
1437c209168
1520b765a90
hex1395321d8

5256716760 has 96 divisors (see below), whose sum is σ = 17103996000. Its totient is φ = 1400177664.

The previous prime is 5256716749. The next prime is 5256716767. The reversal of 5256716760 is 676176525.

5256716760 is a `hidden beast` number, since 5 + 2 + 567 + 16 + 76 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5256716767) 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, 322896 + ... + 338784.

It is an arithmetic number, because the mean of its divisors is an integer number (178166625).

Almost surely, 25256716760 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 5256716760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8551998000).

5256716760 is an abundant number, since it is smaller than the sum of its proper divisors (11847279240).

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

5256716760 is a wasteful number, since it uses less digits than its factorization.

5256716760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16825 (or 16818 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 5256716760 is about 72503.2189630226. The cubic root of 5256716760 is about 1738.7542013938.

The spelling of 5256716760 in words is "five billion, two hundred fifty-six million, seven hundred sixteen thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 919 1838 2757 3676 4595 5514 7352 8271 9190 11028 13785 15889 16542 18380 22056 27570 31778 33084 36760 41355 47667 55140 63556 66168 79445 82710 95334 110280 127112 143001 158890 165420 190668 238335 286002 317780 330840 381336 476670 572004 635560 715005 953340 1144008 1430010 1906680 2860020 5720040 14601991 29203982 43805973 58407964 73009955 87611946 116815928 131417919 146019910 175223892 219029865 262835838 292039820 350447784 438059730 525671676 584079640 657089595 876119460 1051343352 1314179190 1752238920 2628358380 5256716760