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5300819200 = 28522336011
BaseRepresentation
bin1001110111111010…
…00001010100000000
3111200102102111221001
410323331001110000
541324002203300
62233554541344
7245234135245
oct47375012400
914612374831
105300819200
1122801a0a16
12103b297854
13666285511
143840095cc
1521057816a
hex13bf41500

5300819200 has 108 divisors (see below), whose sum is σ = 13691186208. Its totient is φ = 2028083200.

The previous prime is 5300819191. The next prime is 5300819231. The reversal of 5300819200 is 29180035.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129195 + ... + 165205.

Almost surely, 25300819200 is an apocalyptic number.

5300819200 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 5300819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6845593104).

5300819200 is an abundant number, since it is smaller than the sum of its proper divisors (8390367008).

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

5300819200 is a wasteful number, since it uses less digits than its factorization.

5300819200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36060 (or 36041 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 5300819200 is about 72806.7249641130. The cubic root of 5300819200 is about 1743.6032259567.

Adding to 5300819200 its reverse (29180035), we get a palindrome (5329999235).

The spelling of 5300819200 in words is "five billion, three hundred million, eight hundred nineteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 128 160 184 200 230 256 320 368 400 460 575 640 736 800 920 1150 1280 1472 1600 1840 2300 2944 3200 3680 4600 5888 6400 7360 9200 14720 18400 29440 36011 36800 72022 73600 144044 147200 180055 288088 360110 576176 720220 828253 900275 1152352 1440440 1656506 1800550 2304704 2880880 3313012 3601100 4141265 4609408 5761760 6626024 7202200 8282530 9218816 11523520 13252048 14404400 16565060 20706325 23047040 26504096 28808800 33130120 41412650 46094080 53008192 57617600 66260240 82825300 106016384 115235200 132520480 165650600 212032768 230470400 265040960 331301200 530081920 662602400 1060163840 1325204800 2650409600 5300819200