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5324454400 = 29521724469
BaseRepresentation
bin1001111010101110…
…01011101000000000
3111202001220022022211
410331113023220000
541401030020100
62240201311504
7245642054446
oct47527135000
914661808284
105324454400
112292574441
121047195594
1366b13c445
143871dcb96
152126961ba
hex13d5cba00

5324454400 has 120 divisors (see below), whose sum is σ = 13968307980. Its totient is φ = 2004418560.

The previous prime is 5324454397. The next prime is 5324454419. The reversal of 5324454400 is 44544235.

It can be written as a sum of positive squares in 6 ways, for example, as 1668559104 + 3655895296 = 40848^2 + 60464^2 .

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, 205366 + ... + 229834.

Almost surely, 25324454400 is an apocalyptic number.

5324454400 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 5324454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6984153990).

5324454400 is an abundant number, since it is smaller than the sum of its proper divisors (8643853580).

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

5324454400 is a wasteful number, since it uses less digits than its factorization.

5324454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24514 (or 24493 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 31.

The square root of 5324454400 is about 72968.8591112675. The cubic root of 5324454400 is about 1746.1908330960.

Adding to 5324454400 its reverse (44544235), we get a palindrome (5368998635).

The spelling of 5324454400 in words is "five billion, three hundred twenty-four million, four hundred fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 128 136 160 170 200 256 272 320 340 400 425 512 544 640 680 800 850 1088 1280 1360 1600 1700 2176 2560 2720 3200 3400 4352 5440 6400 6800 8704 10880 12800 13600 21760 24469 27200 43520 48938 54400 97876 108800 122345 195752 217600 244690 391504 415973 489380 611725 783008 831946 978760 1223450 1566016 1663892 1957520 2079865 2446900 3132032 3327784 3915040 4159730 4893800 6264064 6655568 7830080 8319460 9787600 10399325 12528128 13311136 15660160 16638920 19575200 20798650 26622272 31320320 33277840 39150400 41597300 53244544 62640640 66555680 78300800 83194600 106489088 133111360 156601600 166389200 212978176 266222720 313203200 332778400 532445440 665556800 1064890880 1331113600 2662227200 5324454400