Search a number
-
+
5087369728 = 29721991019
BaseRepresentation
bin1001011110011101…
…10001101000000000
3111010112210011022001
410233032301220000
540404331312403
62200451553344
7240032633500
oct45716615000
914115704261
105087369728
1121807621a1
12b9b8bb854
13630c9c55c
14363925a00
151eb963c1d
hex12f3b1a00

5087369728 has 120 divisors (see below), whose sum is σ = 11895444000. Its totient is φ = 2167216128.

The previous prime is 5087369711. The next prime is 5087369737. The reversal of 5087369728 is 8279637805.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4992003 + ... + 4993021.

It is an arithmetic number, because the mean of its divisors is an integer number (99128700).

Almost surely, 25087369728 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 5087369728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5947722000).

5087369728 is an abundant number, since it is smaller than the sum of its proper divisors (6808074272).

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

5087369728 is a wasteful number, since it uses less digits than its factorization.

5087369728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 55.

The square root of 5087369728 is about 71325.7998763421. The cubic root of 5087369728 is about 1719.8784987186.

The spelling of 5087369728 in words is "five billion, eighty-seven million, three hundred sixty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 199 224 256 392 398 448 512 784 796 896 1019 1393 1568 1592 1792 2038 2786 3136 3184 3584 4076 5572 6272 6368 7133 8152 9751 11144 12544 12736 14266 16304 19502 22288 25088 25472 28532 32608 39004 44576 49931 50944 57064 65216 78008 89152 99862 101888 114128 130432 156016 178304 199724 202781 228256 260864 312032 356608 399448 405562 456512 521728 624064 713216 798896 811124 913024 1248128 1419467 1597792 1622248 1826048 2496256 2838934 3195584 3244496 3652096 4992512 5677868 6391168 6488992 9936269 11355736 12782336 12977984 19872538 22711472 25564672 25955968 39745076 45422944 51911936 79490152 90845888 103823872 158980304 181691776 317960608 363383552 635921216 726767104 1271842432 2543684864 5087369728