Search a number
-
+
5433071400 = 23325219115803
BaseRepresentation
bin1010000111101011…
…00001011100101000
3112000122021121211200
411003311201130220
542111331241100
62255041324200
7251431226211
oct50365413450
915018247750
105433071400
112338910a59
121077636660
136877ac163
143977d4408
1521be9de00
hex143d61728

5433071400 has 144 divisors (see below), whose sum is σ = 18342754560. Its totient is φ = 1441142400.

The previous prime is 5433071387. The next prime is 5433071419. The reversal of 5433071400 is 41703345.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 335899 + ... + 351701.

It is an arithmetic number, because the mean of its divisors is an integer number (127380240).

Almost surely, 25433071400 is an apocalyptic number.

5433071400 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 5433071400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9171377280).

5433071400 is an abundant number, since it is smaller than the sum of its proper divisors (12909683160).

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

5433071400 is a wasteful number, since it uses less digits than its factorization.

5433071400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16016 (or 16004 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 5433071400 is about 73709.3711816890. The cubic root of 5433071400 is about 1757.9848880653.

Adding to 5433071400 its reverse (41703345), we get a palindrome (5474774745).

The spelling of 5433071400 in words is "five billion, four hundred thirty-three million, seventy-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 191 200 225 300 360 382 450 573 600 764 900 955 1146 1528 1719 1800 1910 2292 2865 3438 3820 4584 4775 5730 6876 7640 8595 9550 11460 13752 14325 15803 17190 19100 22920 28650 31606 34380 38200 42975 47409 57300 63212 68760 79015 85950 94818 114600 126424 142227 158030 171900 189636 237045 284454 316060 343800 379272 395075 474090 568908 632120 711135 790150 948180 1137816 1185225 1422270 1580300 1896360 2370450 2844540 3018373 3160600 3555675 4740900 5689080 6036746 7111350 9055119 9481800 12073492 14222700 15091865 18110238 24146984 27165357 28445400 30183730 36220476 45275595 54330714 60367460 72440952 75459325 90551190 108661428 120734920 135826785 150918650 181102380 217322856 226377975 271653570 301837300 362204760 452755950 543307140 603674600 679133925 905511900 1086614280 1358267850 1811023800 2716535700 5433071400