Search a number
-
+
4500152240 = 245472574657
BaseRepresentation
bin1000011000011101…
…01101111110110000
3102121121211102100012
410030032231332300
533204014332430
62022313514052
7216342443243
oct41416557660
912547742305
104500152240
1119aa244a91
12a57112928
1356942ab9c
1430994925a
151b511d695
hex10c3adfb0

4500152240 has 80 divisors (see below), whose sum is σ = 10729348992. Its totient is φ = 1754529792.

The previous prime is 4500152203. The next prime is 4500152291. The reversal of 4500152240 is 422510054.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 963992 + ... + 968648.

Almost surely, 24500152240 is an apocalyptic number.

4500152240 is a gapful number since it is divisible by the number (40) 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 4500152240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5364674496).

4500152240 is an abundant number, since it is smaller than the sum of its proper divisors (6229196752).

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

4500152240 is a wasteful number, since it uses less digits than its factorization.

4500152240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4974 (or 4968 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 4500152240 is about 67083.1740453595. The cubic root of 4500152240 is about 1650.9822422153.

Adding to 4500152240 its reverse (422510054), we get a palindrome (4922662294).

The spelling of 4500152240 in words is "four billion, five hundred million, one hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 257 376 470 514 752 940 1028 1285 1880 2056 2570 3760 4112 4657 5140 9314 10280 12079 18628 20560 23285 24158 37256 46570 48316 60395 74512 93140 96632 120790 186280 193264 218879 241580 372560 437758 483160 875516 966320 1094395 1196849 1751032 2188790 2393698 3502064 4377580 4787396 5984245 8755160 9574792 11968490 17510320 19149584 23936980 47873960 56251903 95747920 112503806 225007612 281259515 450015224 562519030 900030448 1125038060 2250076120 4500152240