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5450304000 = 2935328387
BaseRepresentation
bin1010001001101110…
…10000101000000000
3112001211201010112010
411010313100220000
542130234212000
62300454532520
7252030551061
oct50467205000
915054633463
105450304000
112347611079
121081367140
1368b233a6b
14399bdc568
1521d754d50
hex144dd0a00

5450304000 has 160 divisors (see below), whose sum is σ = 18121536576. Its totient is φ = 1453363200.

The previous prime is 5450303987. The next prime is 5450304011. The reversal of 5450304000 is 4030545.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177807 + ... + 206193.

Almost surely, 25450304000 is an apocalyptic number.

5450304000 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 5450304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9060768288).

5450304000 is an abundant number, since it is smaller than the sum of its proper divisors (12671232576).

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

5450304000 is an equidigital number, since it uses as much as digits as its factorization.

5450304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28423 (or 28397 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 5450304000 is about 73826.1742202588. The cubic root of 5450304000 is about 1759.8415835376.

Adding to 5450304000 its reverse (4030545), we get a palindrome (5454334545).

The spelling of 5450304000 in words is "five billion, four hundred fifty million, three hundred four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 512 600 640 750 768 800 960 1000 1200 1280 1500 1536 1600 1920 2000 2400 2560 3000 3200 3840 4000 4800 6000 6400 7680 8000 9600 12000 12800 16000 19200 24000 28387 32000 38400 48000 56774 64000 85161 96000 113548 141935 170322 192000 227096 283870 340644 425805 454192 567740 681288 709675 851610 908384 1135480 1362576 1419350 1703220 1816768 2129025 2270960 2725152 2838700 3406440 3548375 3633536 4258050 4541920 5450304 5677400 6812880 7096750 7267072 8516100 9083840 10645125 10900608 11354800 13625760 14193500 14534144 17032200 18167680 21290250 21801216 22709600 27251520 28387000 34064400 36335360 42580500 43602432 45419200 54503040 56774000 68128800 72670720 85161000 90838400 109006080 113548000 136257600 170322000 181676800 218012160 227096000 272515200 340644000 363353600 454192000 545030400 681288000 908384000 1090060800 1362576000 1816768000 2725152000 5450304000