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5182211840 = 285132910739
BaseRepresentation
bin1001101001110001…
…00100011100000000
3111101011020122012212
410310320210130000
541103121234330
62214120441252
7242264034221
oct46470443400
914334218185
105182211840
11221a250503
121007619228
13647828450
14372373248
15204e4a295
hex134e24700

5182211840 has 144 divisors (see below), whose sum is σ = 13830112800. Its totient is φ = 1847279616.

The previous prime is 5182211833. The next prime is 5182211843. The reversal of 5182211840 is 481122815.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 5182211797 and 5182211806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5182211843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477191 + ... + 487929.

It is an arithmetic number, because the mean of its divisors is an integer number (96042450).

Almost surely, 25182211840 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 5182211840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6915056400).

5182211840 is an abundant number, since it is smaller than the sum of its proper divisors (8647900960).

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

5182211840 is a wasteful number, since it uses less digits than its factorization.

5182211840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10802 (or 10788 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 32.

The square root of 5182211840 is about 71987.5811511958. The cubic root of 5182211840 is about 1730.5004666546.

The spelling of 5182211840 in words is "five billion, one hundred eighty-two million, two hundred eleven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 32 40 52 58 64 65 80 104 116 128 130 145 160 208 232 256 260 290 320 377 416 464 520 580 640 754 832 928 1040 1160 1280 1508 1664 1856 1885 2080 2320 3016 3328 3712 3770 4160 4640 6032 7424 7540 8320 9280 10739 12064 15080 16640 18560 21478 24128 30160 37120 42956 48256 53695 60320 85912 96512 107390 120640 139607 171824 214780 241280 279214 311431 343648 429560 482560 558428 622862 687296 698035 859120 1116856 1245724 1374592 1396070 1557155 1718240 2233712 2491448 2749184 2792140 3114310 3436480 4048603 4467424 4982896 5584280 6228620 6872960 8097206 8934848 9965792 11168560 12457240 13745920 16194412 17869696 19931584 20243015 22337120 24914480 32388824 35739392 39863168 40486030 44674240 49828960 64777648 79726336 80972060 89348480 99657920 129555296 161944120 178696960 199315840 259110592 323888240 398631680 518221184 647776480 1036442368 1295552960 2591105920 5182211840