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5344535200 = 255238317443
BaseRepresentation
bin1001111101000111…
…10010001010100000
3111210110200112000011
410332203302022200
541421200111300
62242155534304
7246304541164
oct47643621240
914713615004
105344535200
1122a293a444
121051a5a394
13672350584
14389b48ca4
15214310eba
hex13e8f22a0

5344535200 has 72 divisors (see below), whose sum is σ = 13082162688. Its totient is φ = 2132110080.

The previous prime is 5344535179. The next prime is 5344535233. The reversal of 5344535200 is 25354435.

It is a happy 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, 297679 + ... + 315121.

It is an arithmetic number, because the mean of its divisors is an integer number (181696704).

Almost surely, 25344535200 is an apocalyptic number.

5344535200 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 5344535200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6541081344).

5344535200 is an abundant number, since it is smaller than the sum of its proper divisors (7737627488).

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

5344535200 is a wasteful number, since it uses less digits than its factorization.

5344535200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17846 (or 17833 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 31.

The square root of 5344535200 is about 73106.3280434738. The cubic root of 5344535200 is about 1748.3832905623.

Adding to 5344535200 its reverse (25354435), we get a palindrome (5369889635).

The spelling of 5344535200 in words is "five billion, three hundred forty-four million, five hundred thirty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 383 400 766 800 1532 1915 3064 3830 6128 7660 9575 12256 15320 17443 19150 30640 34886 38300 61280 69772 76600 87215 139544 153200 174430 279088 306400 348860 436075 558176 697720 872150 1395440 1744300 2790880 3488600 6680669 6977200 13361338 13954400 26722676 33403345 53445352 66806690 106890704 133613380 167016725 213781408 267226760 334033450 534453520 668066900 1068907040 1336133800 2672267600 5344535200