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5132839200 = 253524152163
BaseRepresentation
bin1001100011111000…
…01110100100100000
3111020201100020200120
410301330032210200
541003001323300
62205154320240
7241124261526
oct46174164440
914221306616
105132839200
1121a4399075
12bb2b89080
1363a52c778
143699a0316
152009463a0
hex131f0e920

5132839200 has 144 divisors (see below), whose sum is σ = 17115217056. Its totient is φ = 1335347200.

The previous prime is 5132839169. The next prime is 5132839207. The reversal of 5132839200 is 29382315.

It is not an unprimeable number, because it can be changed into a prime (5132839207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72319 + ... + 124481.

It is an arithmetic number, because the mean of its divisors is an integer number (118855674).

Almost surely, 25132839200 is an apocalyptic number.

5132839200 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 5132839200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8557608528).

5132839200 is an abundant number, since it is smaller than the sum of its proper divisors (11982377856).

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

5132839200 is a wasteful number, since it uses less digits than its factorization.

5132839200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52227 (or 52214 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 5132839200 is about 71643.8357432096. The cubic root of 5132839200 is about 1724.9872378808.

The spelling of 5132839200 in words is "five billion, one hundred thirty-two million, eight hundred thirty-nine thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 41 48 50 60 75 80 82 96 100 120 123 150 160 164 200 205 240 246 300 328 400 410 480 492 600 615 656 800 820 984 1025 1200 1230 1312 1640 1968 2050 2400 2460 3075 3280 3936 4100 4920 6150 6560 8200 9840 12300 16400 19680 24600 32800 49200 52163 98400 104326 156489 208652 260815 312978 417304 521630 625956 782445 834608 1043260 1251912 1304075 1564890 1669216 2086520 2138683 2503824 2608150 3129780 3912225 4173040 4277366 5007648 5216300 6259560 6416049 7824450 8346080 8554732 10432600 10693415 12519120 12832098 15648900 17109464 20865200 21386830 25038240 25664196 31297800 32080245 34218928 41730400 42773660 51328392 53467075 62595600 64160490 68437856 85547320 102656784 106934150 125191200 128320980 160401225 171094640 205313568 213868300 256641960 320802450 342189280 427736600 513283920 641604900 855473200 1026567840 1283209800 1710946400 2566419600 5132839200