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4752240000 = 2735419801
BaseRepresentation
bin1000110110100000…
…10110110110000000
3110021012011210201220
410123100112312000
534213033140000
62103320555040
7225523242054
oct43320266600
913235153656
104752240000
112019574282
12b07622a80
135a9721941
14331209c64
151cc3161a0
hex11b416d80

4752240000 has 160 divisors (see below), whose sum is σ = 15774669240. Its totient is φ = 1267200000.

The previous prime is 4752239927. The next prime is 4752240007. The reversal of 4752240000 is 422574.

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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4752240007) 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 19 ways as a sum of consecutive naturals, for example, 230100 + ... + 249900.

Almost surely, 24752240000 is an apocalyptic number.

4752240000 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 4752240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7887334620).

4752240000 is an abundant number, since it is smaller than the sum of its proper divisors (11022429240).

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

4752240000 is an equidigital number, since it uses as much as digits as its factorization.

4752240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19838 (or 19811 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 4752240000 is about 68936.4925130370. The cubic root of 4752240000 is about 1681.2519013443.

Adding to 4752240000 its reverse (422574), we get a palindrome (4752662574).

The spelling of 4752240000 in words is "four billion, seven hundred fifty-two million, two hundred forty 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 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 625 640 750 800 960 1000 1200 1250 1500 1600 1875 1920 2000 2400 2500 3000 3200 3750 4000 4800 5000 6000 7500 8000 9600 10000 12000 15000 16000 19801 20000 24000 30000 39602 40000 48000 59403 60000 79204 80000 99005 118806 120000 158408 198010 237612 240000 297015 316816 396020 475224 495025 594030 633632 792040 950448 990050 1188060 1267264 1485075 1584080 1900896 1980100 2376120 2475125 2534528 2970150 3168160 3801792 3960200 4752240 4950250 5940300 6336320 7425375 7603584 7920400 9504480 9900500 11880600 12375625 12672640 14850750 15840800 19008960 19801000 23761200 24751250 29701500 31681600 37126875 38017920 39602000 47522400 49502500 59403000 63363200 74253750 79204000 95044800 99005000 118806000 148507500 158408000 190089600 198010000 237612000 297015000 316816000 396020000 475224000 594030000 792040000 950448000 1188060000 1584080000 2376120000 4752240000