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5644440400 = 2452113151827
BaseRepresentation
bin1010100000110111…
…10101001101010000
3112120101000021121011
411100123311031100
543024434043100
62332031540304
7256605644314
oct52033651520
915511007534
105644440400
112437159685
12111638a694
136bc517181
143b78d5b44
15230801bba
hex1506f5350

5644440400 has 120 divisors (see below), whose sum is σ = 13788028224. Its totient is φ = 2220288000.

The previous prime is 5644440397. The next prime is 5644440401. The reversal of 5644440400 is 40444465.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5644440401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6824787 + ... + 6825613.

Almost surely, 25644440400 is an apocalyptic number.

5644440400 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 5644440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894014112).

5644440400 is an abundant number, since it is smaller than the sum of its proper divisors (8143587824).

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

5644440400 is a wasteful number, since it uses less digits than its factorization.

5644440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

The square root of 5644440400 is about 75129.4908807454. The cubic root of 5644440400 is about 1780.4931091848.

Adding to 5644440400 its reverse (40444465), we get a palindrome (5684884865).

The spelling of 5644440400 in words is "five billion, six hundred forty-four million, four hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 113 151 200 226 302 400 452 565 604 755 827 904 1130 1208 1510 1654 1808 2260 2416 2825 3020 3308 3775 4135 4520 5650 6040 6616 7550 8270 9040 11300 12080 13232 15100 16540 17063 20675 22600 30200 33080 34126 41350 45200 60400 66160 68252 82700 85315 93451 124877 136504 165400 170630 186902 249754 273008 330800 341260 373804 426575 467255 499508 624385 682520 747608 853150 934510 999016 1248770 1365040 1495216 1706300 1869020 1998032 2336275 2497540 3121925 3412600 3738040 4672550 4995080 6243850 6825200 7476080 9345100 9990160 12487700 14111101 18690200 24975400 28222202 37380400 49950800 56444404 70555505 112888808 141111010 225777616 282222020 352777525 564444040 705555050 1128888080 1411110100 2822220200 5644440400