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5242304000 = 2953101811
BaseRepresentation
bin1001110000111011…
…10011011000000000
3111112100022122011102
410320131303120000
541214012212000
62224104433532
7243623564063
oct47035633000
914470278142
105242304000
11225016464a
1210237788a8
1365710833b
1437a3368da
1520a36a3d5
hex138773600

5242304000 has 160 divisors (see below), whose sum is σ = 13217716512. Its totient is φ = 2073600000.

The previous prime is 5242303999. The next prime is 5242304009. The reversal of 5242304000 is 4032425.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5242304009) 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, 6463595 + ... + 6464405.

Almost surely, 25242304000 is an apocalyptic number.

5242304000 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 5242304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6608858256).

5242304000 is an abundant number, since it is smaller than the sum of its proper divisors (7975412512).

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

5242304000 is an equidigital number, since it uses as much as digits as its factorization.

5242304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 5242304000 is about 72403.7568086077. The cubic root of 5242304000 is about 1737.1636531279.

Adding to 5242304000 its reverse (4032425), we get a palindrome (5246336425).

The spelling of 5242304000 in words is "five billion, two hundred forty-two million, three hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 101 125 128 160 200 202 250 256 320 400 404 500 505 512 640 800 808 811 1000 1010 1280 1600 1616 1622 2000 2020 2525 2560 3200 3232 3244 4000 4040 4055 5050 6400 6464 6488 8000 8080 8110 10100 12625 12800 12928 12976 16000 16160 16220 20200 20275 25250 25856 25952 32000 32320 32440 40400 40550 50500 51712 51904 64000 64640 64880 80800 81100 81911 101000 101375 103808 129280 129760 161600 162200 163822 202000 202750 207616 258560 259520 323200 324400 327644 404000 405500 409555 415232 519040 646400 648800 655288 808000 811000 819110 1038080 1292800 1297600 1310576 1616000 1622000 1638220 2047775 2076160 2595200 2621152 3232000 3244000 3276440 4095550 5190400 5242304 6464000 6488000 6552880 8191100 10238875 10380800 10484608 12976000 13105760 16382200 20477750 20969216 25952000 26211520 32764400 40955500 41938432 51904000 52423040 65528800 81911000 104846080 131057600 163822000 209692160 262115200 327644000 524230400 655288000 1048460800 1310576000 2621152000 5242304000