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5048687520 = 253254185513
BaseRepresentation
bin1001011001110110…
…01101101110100000
3111000211222220021200
410230323031232200
540314431000040
62152550521200
7236053064412
oct45473155640
914024886250
105048687520
112160941728
12b8a966200
13625c77786
1435c7369b2
151e8372630
hex12cecdba0

5048687520 has 144 divisors (see below), whose sum is σ = 17649063432. Its totient is φ = 1313464320.

The previous prime is 5048687513. The next prime is 5048687521. The reversal of 5048687520 is 257868405.

5048687520 is a `hidden beast` number, since 5 + 0 + 48 + 6 + 87 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2629228176 + 2419459344 = 51276^2 + 49188^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (5048687521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16284 + ... + 101796.

Almost surely, 25048687520 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 5048687520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8824531716).

5048687520 is an abundant number, since it is smaller than the sum of its proper divisors (12600375912).

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

5048687520 is a wasteful number, since it uses less digits than its factorization.

5048687520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85575 (or 85564 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 5048687520 is about 71054.1168406166. The cubic root of 5048687520 is about 1715.5083273599.

The spelling of 5048687520 in words is "five billion, forty-eight million, six hundred eighty-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 41 45 48 60 72 80 82 90 96 120 123 144 160 164 180 205 240 246 288 328 360 369 410 480 492 615 656 720 738 820 984 1230 1312 1440 1476 1640 1845 1968 2460 2952 3280 3690 3936 4920 5904 6560 7380 9840 11808 14760 19680 29520 59040 85513 171026 256539 342052 427565 513078 684104 769617 855130 1026156 1282695 1368208 1539234 1710260 2052312 2565390 2736416 3078468 3420520 3506033 3848085 4104624 5130780 6156936 6841040 7012066 7696170 8209248 10261560 10518099 12313872 13682080 14024132 15392340 17530165 20523120 21036198 24627744 28048264 30784680 31554297 35060330 41046240 42072396 52590495 56096528 61569360 63108594 70120660 84144792 105180990 112193056 123138720 126217188 140241320 157771485 168289584 210361980 252434376 280482640 315542970 336579168 420723960 504868752 560965280 631085940 841447920 1009737504 1262171880 1682895840 2524343760 5048687520