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5352531200 = 2852899397
BaseRepresentation
bin1001111110000100…
…10010010100000000
3111211000201202110022
410333002102110000
541430221444300
62243043153012
7246432523142
oct47702222400
914730652408
105352531200
1122a7400a05
121054675768
13673bbcc33
1438ac2ac92
15214d90285
hex13f092500

5352531200 has 108 divisors (see below), whose sum is σ = 13398634620. Its totient is φ = 2116730880.

The previous prime is 5352531199. The next prime is 5352531257. The reversal of 5352531200 is 21352535.

It can be written as a sum of positive squares in 6 ways, for example, as 2032927744 + 3319603456 = 45088^2 + 57616^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5352531200.

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, 564902 + ... + 574298.

Almost surely, 25352531200 is an apocalyptic number.

5352531200 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 5352531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6699317310).

5352531200 is an abundant number, since it is smaller than the sum of its proper divisors (8046103420).

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

5352531200 is an equidigital number, since it uses as much as digits as its factorization.

5352531200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9512 (or 9493 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

The square root of 5352531200 is about 73160.9950725111. The cubic root of 5352531200 is about 1749.2547792986.

Adding to 5352531200 its reverse (21352535), we get a palindrome (5373883735).

The spelling of 5352531200 in words is "five billion, three hundred fifty-two million, five hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 89 100 128 160 178 200 256 320 356 400 445 640 712 800 890 1280 1424 1600 1780 2225 2848 3200 3560 4450 5696 6400 7120 8900 9397 11392 14240 17800 18794 22784 28480 35600 37588 46985 56960 71200 75176 93970 113920 142400 150352 187940 234925 284800 300704 375880 469850 569600 601408 751760 836333 939700 1202816 1503520 1672666 1879400 2405632 3007040 3345332 3758800 4181665 6014080 6690664 7517600 8363330 12028160 13381328 15035200 16726660 20908325 26762656 30070400 33453320 41816650 53525312 60140800 66906640 83633300 107050624 133813280 167266600 214101248 267626560 334533200 535253120 669066400 1070506240 1338132800 2676265600 5352531200