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2543750264 = 231153618941
BaseRepresentation
bin1001011110011110…
…1000110001111000
320120021111220100202
42113213220301320
520202200002024
61100225221332
7120015343346
oct22747506170
96507456322
102543750264
111095976250
125aba91848
13317009c93
141a1b9c996
15ed4bdbae
hex979e8c78

2543750264 has 64 divisors (see below), whose sum is σ = 5388806880. Its totient is φ = 1115712000.

The previous prime is 2543750263. The next prime is 2543750303. The reversal of 2543750264 is 4620573452.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2543750263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280034 + ... + 288974.

Almost surely, 22543750264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2543750264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694403440).

2543750264 is an abundant number, since it is smaller than the sum of its proper divisors (2845056616).

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

2543750264 is a wasteful number, since it uses less digits than its factorization.

2543750264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9072 (or 9068 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 38.

The square root of 2543750264 is about 50435.6051217788. The cubic root of 2543750264 is about 1365.0801679313.

The spelling of 2543750264 in words is "two billion, five hundred forty-three million, seven hundred fifty thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 53 61 88 106 122 212 244 424 488 583 671 1166 1342 2332 2684 3233 4664 5368 6466 8941 12932 17882 25864 35563 35764 71126 71528 98351 142252 196702 284504 393404 473873 545401 786808 947746 1090802 1895492 2181604 3790984 4363208 5212603 5999411 10425206 11998822 20850412 23997644 28906253 41700824 47995288 57812506 115625012 231250024 317968783 635937566 1271875132 2543750264