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5035375200 = 2535210120773
BaseRepresentation
bin1001011000010000…
…11011101001100000
3110222220221120012210
410230020123221200
540303024001300
62151353322120
7235531661112
oct45410335140
913886846183
105035375200
112154379a09
12b86406340
1362329636b
1435aa6d3b2
151e70e3050
hex12c21ba60

5035375200 has 144 divisors (see below), whose sum is σ = 16553221776. Its totient is φ = 1329408000.

The previous prime is 5035375199. The next prime is 5035375201. The reversal of 5035375200 is 25735305.

It is an interprime number because it is at equal distance from previous prime (5035375199) and next prime (5035375201).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5035375201) 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 23 ways as a sum of consecutive naturals, for example, 232014 + ... + 252786.

It is an arithmetic number, because the mean of its divisors is an integer number (114952929).

Almost surely, 25035375200 is an apocalyptic number.

5035375200 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 5035375200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8276610888).

5035375200 is an abundant number, since it is smaller than the sum of its proper divisors (11517846576).

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

5035375200 is a wasteful number, since it uses less digits than its factorization.

5035375200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20897 (or 20884 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 30.

The square root of 5035375200 is about 70960.3776765598. The cubic root of 5035375200 is about 1713.9991894146. Note that the first 3 decimals are identical.

The spelling of 5035375200 in words is "five billion, thirty-five million, three hundred seventy-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 101 120 150 160 200 202 240 300 303 400 404 480 505 600 606 800 808 1010 1200 1212 1515 1616 2020 2400 2424 2525 3030 3232 4040 4848 5050 6060 7575 8080 9696 10100 12120 15150 16160 20200 20773 24240 30300 40400 41546 48480 60600 62319 80800 83092 103865 121200 124638 166184 207730 242400 249276 311595 332368 415460 498552 519325 623190 664736 830920 997104 1038650 1246380 1557975 1661840 1994208 2077300 2098073 2492760 3115950 3323680 4154600 4196146 4985520 6231900 6294219 8309200 8392292 9971040 10490365 12463800 12588438 16618400 16784584 20980730 24927600 25176876 31471095 33569168 41961460 49855200 50353752 52451825 62942190 67138336 83922920 100707504 104903650 125884380 157355475 167845840 201415008 209807300 251768760 314710950 335691680 419614600 503537520 629421900 839229200 1007075040 1258843800 1678458400 2517687600 5035375200