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43282624240 = 2451731825459
BaseRepresentation
bin101000010011110110…
…000110111011110000
311010201102220010102001
4220103312012323300
51202120322433430
631514520503344
73061404143602
oct502366067360
9133642803361
1043282624240
11173a0a05239
12847b31ab54
13410a18ca7b
142148543172
1511d4ca63ca
hexa13d86ef0

43282624240 has 40 divisors (see below), whose sum is σ = 106551640080. Its totient is φ = 16294634496.

The previous prime is 43282624193. The next prime is 43282624243. The reversal of 43282624240 is 4242628234.

43282624240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×432826242403 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 43282624240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43282624243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15911370 + ... + 15914089.

It is an arithmetic number, because the mean of its divisors is an integer number (2663791002).

Almost surely, 243282624240 is an apocalyptic number.

43282624240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

43282624240 is an abundant number, since it is smaller than the sum of its proper divisors (63269015840).

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

43282624240 is a wasteful number, since it uses less digits than its factorization.

43282624240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31825489 (or 31825483 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 37.

The spelling of 43282624240 in words is "forty-three billion, two hundred eighty-two million, six hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 31825459 63650918 127301836 159127295 254603672 318254590 509207344 541032803 636509180 1082065606 1273018360 2164131212 2546036720 2705164015 4328262424 5410328030 8656524848 10820656060 21641312120 43282624240