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5076143600 = 2452112104879
BaseRepresentation
bin1001011101000111…
…11100110111110000
3111002202122210221112
410232203330313300
540343443043400
62155411212452
7236535336323
oct45643746760
914082583845
105076143600
112175394900
12b97ba7128
1362b86b888
143622427ba
151ea997835
hex12e8fcdf0

5076143600 has 90 divisors (see below), whose sum is σ = 13405027440. Its totient is φ = 1845852800.

The previous prime is 5076143599. The next prime is 5076143617. The reversal of 5076143600 is 63416705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4040 + ... + 100839.

Almost surely, 25076143600 is an apocalyptic number.

5076143600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5076143600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6702513720).

5076143600 is an abundant number, since it is smaller than the sum of its proper divisors (8328883840).

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

5076143600 is a wasteful number, since it uses less digits than its factorization.

5076143600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104919 (or 104897 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 5076143600 is about 71247.0602902323. The cubic root of 5076143600 is about 1718.6125010005.

The spelling of 5076143600 in words is "five billion, seventy-six million, one hundred forty-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 176 200 220 242 275 400 440 484 550 605 880 968 1100 1210 1936 2200 2420 3025 4400 4840 6050 9680 12100 24200 48400 104879 209758 419516 524395 839032 1048790 1153669 1678064 2097580 2307338 2621975 4195160 4614676 5243950 5768345 8390320 9229352 10487900 11536690 12690359 18458704 20975800 23073380 25380718 28841725 41951600 46146760 50761436 57683450 63451795 92293520 101522872 115366900 126903590 203045744 230733800 253807180 317258975 461467600 507614360 634517950 1015228720 1269035900 2538071800 5076143600