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5324354200 = 23521119112671
BaseRepresentation
bin1001111010101101…
…10011001010011000
3111202001201012212201
410331112303022120
541401013313300
62240155215544
7245641156354
oct47526631230
914661635781
105324354200
112292506130
1210471475b4
1366b105959
143871b4464
1521267666a
hex13d5b3298

5324354200 has 96 divisors (see below), whose sum is σ = 13576273920. Its totient is φ = 1925840000.

The previous prime is 5324354197. The next prime is 5324354221. The reversal of 5324354200 is 24534235.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413865 + ... + 426535.

It is an arithmetic number, because the mean of its divisors is an integer number (141419520).

Almost surely, 25324354200 is an apocalyptic number.

5324354200 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 5324354200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6788136960).

5324354200 is an abundant number, since it is smaller than the sum of its proper divisors (8251919720).

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

5324354200 is a wasteful number, since it uses less digits than its factorization.

5324354200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12889 (or 12880 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

The square root of 5324354200 is about 72968.1725137748. The cubic root of 5324354200 is about 1746.1798792714.

Adding to 5324354200 its reverse (24534235), we get a palindrome (5348888435).

It can be divided in two parts, 532435 and 4200, that added together give a palindrome (536635).

The spelling of 5324354200 in words is "five billion, three hundred twenty-four million, three hundred fifty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 191 200 220 275 382 440 550 764 955 1100 1528 1910 2101 2200 3820 4202 4775 7640 8404 9550 10505 12671 16808 19100 21010 25342 38200 42020 50684 52525 63355 84040 101368 105050 126710 139381 210100 253420 278762 316775 420200 506840 557524 633550 696905 1115048 1267100 1393810 2420161 2534200 2787620 3484525 4840322 5575240 6969050 9680644 12100805 13938100 19361288 24201610 26621771 27876200 48403220 53243542 60504025 96806440 106487084 121008050 133108855 212974168 242016100 266217710 484032200 532435420 665544275 1064870840 1331088550 2662177100 5324354200