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5324112400 = 245241324641
BaseRepresentation
bin1001111010101011…
…11000001000010000
3111202001020221012011
410331111320020100
541400433044100
62240150112304
7245636131405
oct47525701020
914661227164
105324112400
1122923604a2
12104704b694
1366b04c889
143871502ac
15212629bba
hex13d578210

5324112400 has 60 divisors (see below), whose sum is σ = 13103200404. Its totient is φ = 2077696000.

The previous prime is 5324112397. The next prime is 5324112457. The reversal of 5324112400 is 42114235.

It can be written as a sum of positive squares in 6 ways, for example, as 741363984 + 4582748416 = 27228^2 + 67696^2 .

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, 145921 + ... + 178720.

Almost surely, 25324112400 is an apocalyptic number.

5324112400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5324112400 is an abundant number, since it is smaller than the sum of its proper divisors (7779088004).

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

5324112400 is a wasteful number, since it uses less digits than its factorization.

5324112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324700 (or 324689 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 5324112400 is about 72966.5156081884. The cubic root of 5324112400 is about 1746.1534452244.

Adding to 5324112400 its reverse (42114235), we get a palindrome (5366226635).

The spelling of 5324112400 in words is "five billion, three hundred twenty-four million, one hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 164 200 205 328 400 410 656 820 1025 1640 2050 3280 4100 8200 16400 324641 649282 1298564 1623205 2597128 3246410 5194256 6492820 8116025 12985640 13310281 16232050 25971280 26620562 32464100 53241124 64928200 66551405 106482248 129856400 133102810 212964496 266205620 332757025 532411240 665514050 1064822480 1331028100 2662056200 5324112400