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5432513200 = 2452174991601
BaseRepresentation
bin1010000111100110…
…11001001010110000
3112000121020021010121
411003303121022300
542111210410300
62255021340024
7251423412622
oct50363311260
915017207117
105432513200
11233856a634
121077407614
1368764506a
143976cac12
1521bddd81a
hex143cd92b0

5432513200 has 120 divisors (see below), whose sum is σ = 13855698000. Its totient is φ = 2039808000.

The previous prime is 5432513179. The next prime is 5432513201. The reversal of 5432513200 is 23152345.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5432513201) 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, 3392400 + ... + 3394000.

It is an arithmetic number, because the mean of its divisors is an integer number (115464150).

Almost surely, 25432513200 is an apocalyptic number.

5432513200 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 5432513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6927849000).

5432513200 is an abundant number, since it is smaller than the sum of its proper divisors (8423184800).

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

5432513200 is a wasteful number, since it uses less digits than its factorization.

5432513200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 5432513200 is about 73705.5845916712. The cubic root of 5432513200 is about 1757.9246802073.

Adding to 5432513200 its reverse (23152345), we get a palindrome (5455665545).

The spelling of 5432513200 in words is "five billion, four hundred thirty-two million, five hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 499 680 850 998 1360 1601 1700 1996 2495 3202 3400 3992 4990 6404 6800 7984 8005 8483 9980 12475 12808 16010 16966 19960 24950 25616 27217 32020 33932 39920 40025 42415 49900 54434 64040 67864 80050 84830 99800 108868 128080 135728 136085 160100 169660 199600 212075 217736 272170 320200 339320 424150 435472 544340 640400 678640 680425 798899 848300 1088680 1360850 1597798 1696600 2177360 2721700 3195596 3393200 3994495 5443400 6391192 7988990 10886800 12782384 13581283 15977980 19972475 27162566 31955960 39944950 54325132 63911920 67906415 79889900 108650264 135812830 159779800 217300528 271625660 319559600 339532075 543251320 679064150 1086502640 1358128300 2716256600 5432513200