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5144452000 = 25535572309
BaseRepresentation
bin1001100101010001…
…00001101110100000
3111021112012020110021
410302220201232200
541013434431000
62210251243224
7241325056222
oct46250415640
914245166407
105144452000
1121aa9aaa26
12bb6a49514
1363ca6744c
1436b344412
1520198c11a
hex132a21ba0

5144452000 has 96 divisors (see below), whose sum is σ = 12668095440. Its totient is φ = 2053196800.

The previous prime is 5144451997. The next prime is 5144452007. The reversal of 5144452000 is 2544415.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 74442384 + 5070009616 = 8628^2 + 71204^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5144452007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2226846 + ... + 2229154.

Almost surely, 25144452000 is an apocalyptic number.

5144452000 is a gapful number since it is divisible by the number (50) 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 5144452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6334047720).

5144452000 is an abundant number, since it is smaller than the sum of its proper divisors (7523643440).

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

5144452000 is a wasteful number, since it uses less digits than its factorization.

5144452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2891 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 5144452000 is about 71724.8353082808. The cubic root of 5144452000 is about 1726.2871580539.

Adding to 5144452000 its reverse (2544415), we get a palindrome (5146996415).

The spelling of 5144452000 in words is "five billion, one hundred forty-four million, four hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 557 800 1000 1114 2000 2228 2309 2785 4000 4456 4618 5570 8912 9236 11140 11545 13925 17824 18472 22280 23090 27850 36944 44560 46180 55700 57725 69625 73888 89120 92360 111400 115450 139250 184720 222800 230900 278500 288625 369440 445600 461800 557000 577250 923600 1114000 1154500 1286113 1847200 2228000 2309000 2572226 4618000 5144452 6430565 9236000 10288904 12861130 20577808 25722260 32152825 41155616 51444520 64305650 102889040 128611300 160764125 205778080 257222600 321528250 514445200 643056500 1028890400 1286113000 2572226000 5144452000