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5052013300 = 2252374493041
BaseRepresentation
bin1001011010001111…
…11001101011110100
3111001002020212101201
410231013321223310
540321303411200
62153150102244
7236123255515
oct45507715364
914032225351
105052013300
112162803404
12b8baaa984
136268704a9
1435cd60a0c
151e87ccc6a
hex12d1f9af4

5052013300 has 72 divisors (see below), whose sum is σ = 11287949400. Its totient is φ = 1961164800.

The previous prime is 5052013259. The next prime is 5052013327. The reversal of 5052013300 is 33102505.

It can be written as a sum of positive squares in 12 ways, for example, as 24068836 + 5027944464 = 4906^2 + 70908^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1659780 + ... + 1662820.

It is an arithmetic number, because the mean of its divisors is an integer number (156777075).

Almost surely, 25052013300 is an apocalyptic number.

5052013300 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 5052013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5643974700).

5052013300 is an abundant number, since it is smaller than the sum of its proper divisors (6235936100).

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

5052013300 is a wasteful number, since it uses less digits than its factorization.

5052013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3541 (or 3534 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 5052013300 is about 71077.5161355544. The cubic root of 5052013300 is about 1715.8849368533.

Adding to 5052013300 its reverse (33102505), we get a palindrome (5085115805).

The spelling of 5052013300 in words is "five billion, fifty-two million, thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 449 740 898 925 1796 1850 2245 3041 3700 4490 6082 8980 11225 12164 15205 16613 22450 30410 33226 44900 60820 66452 76025 83065 112517 152050 166130 225034 304100 332260 415325 450068 562585 830650 1125170 1365409 1661300 2250340 2730818 2812925 5461636 5625850 6827045 11251700 13654090 27308180 34135225 50520133 68270450 101040266 136540900 202080532 252600665 505201330 1010402660 1263003325 2526006650 5052013300