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5185925760 = 273514391877
BaseRepresentation
bin1001101010001101…
…01111001010000000
3111101102020022202110
410311012233022000
541110044111020
62214332215320
7242340433041
oct46506571200
914342208673
105185925760
112221357864
12100890a540
13648528a32
14372a5c8c8
152054308e0
hex1351af280

5185925760 has 128 divisors (see below), whose sum is σ = 16550438400. Its totient is φ = 1381216256.

The previous prime is 5185925753. The next prime is 5185925807. The reversal of 5185925760 is 675295815.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2761942 + ... + 2763818.

It is an arithmetic number, because the mean of its divisors is an integer number (129300300).

Almost surely, 25185925760 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 5185925760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8275219200).

5185925760 is an abundant number, since it is smaller than the sum of its proper divisors (11364512640).

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

5185925760 is a wasteful number, since it uses less digits than its factorization.

5185925760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3338 (or 3326 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 48.

The square root of 5185925760 is about 72013.3720915775. The cubic root of 5185925760 is about 1730.9137654401.

The spelling of 5185925760 in words is "five billion, one hundred eighty-five million, nine hundred twenty-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1439 1877 1920 2878 3754 4317 5631 5756 7195 7508 8634 9385 11262 11512 14390 15016 17268 18770 21585 22524 23024 28155 28780 30032 34536 37540 43170 45048 46048 56310 57560 60064 69072 75080 86340 90096 92096 112620 115120 120128 138144 150160 172680 180192 184192 225240 230240 240256 276288 300320 345360 360384 450480 460480 552576 600640 690720 720768 900960 920960 1201280 1381440 1801920 2701003 2762880 3603840 5402006 8103009 10804012 13505015 16206018 21608024 27010030 32412036 40515045 43216048 54020060 64824072 81030090 86432096 108040120 129648144 162060180 172864192 216080240 259296288 324120360 345728384 432160480 518592576 648240720 864320960 1037185152 1296481440 1728641920 2592962880 5185925760