Search a number
-
+
5004450240 = 263512741047
BaseRepresentation
bin1001010100100100…
…11101100111000000
3110220202202102010220
410222102131213000
540222114401430
62144330423040
7235005060636
oct45222354700
913822672126
105004450240
112138977599
12b77b91a80
13619a5937a
143568dd356
151e4535110
hex12a49d9c0

5004450240 has 112 divisors (see below), whose sum is σ = 16014630912. Its totient is φ = 1323979776.

The previous prime is 5004450211. The next prime is 5004450247. The reversal of 5004450240 is 420544005.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5004450240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5004450247) 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, 101397 + ... + 142443.

It is an arithmetic number, because the mean of its divisors is an integer number (142987776).

Almost surely, 25004450240 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 5004450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8007315456).

5004450240 is an abundant number, since it is smaller than the sum of its proper divisors (11010180672).

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

5004450240 is a wasteful number, since it uses less digits than its factorization.

5004450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41194 (or 41184 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 5004450240 is about 70742.1390685919. The cubic root of 5004450240 is about 1710.4831164618.

Adding to 5004450240 its reverse (420544005), we get a palindrome (5424994245).

The spelling of 5004450240 in words is "five billion, four million, four hundred fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 127 160 192 240 254 320 381 480 508 635 762 960 1016 1270 1524 1905 2032 2540 3048 3810 4064 5080 6096 7620 8128 10160 12192 15240 20320 24384 30480 40640 41047 60960 82094 121920 123141 164188 205235 246282 328376 410470 492564 615705 656752 820940 985128 1231410 1313504 1641880 1970256 2462820 2627008 3283760 3940512 4925640 5212969 6567520 7881024 9851280 10425938 13135040 15638907 19702560 20851876 26064845 31277814 39405120 41703752 52129690 62555628 78194535 83407504 104259380 125111256 156389070 166815008 208518760 250222512 312778140 333630016 417037520 500445024 625556280 834075040 1000890048 1251112560 1668150080 2502225120 5004450240