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4529728640 = 27511296269
BaseRepresentation
bin1000011011111111…
…00010110010000000
3102200200111001112102
410031333202302000
533234102304030
62025251445532
7220152025643
oct41577426200
912620431472
104529728640
111a14a06198
12a64bb68a8
135725b5108
1430d847a5a
151b7a11c45
hex10dfe2c80

4529728640 has 64 divisors (see below), whose sum is σ = 10840203000. Its totient is φ = 1809997824.

The previous prime is 4529728633. The next prime is 4529728657. The reversal of 4529728640 is 468279254.

It can be written as a sum of positive squares in 4 ways, for example, as 2189491264 + 2340237376 = 46792^2 + 48376^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 719426 + ... + 725694.

Almost surely, 24529728640 is an apocalyptic number.

4529728640 is a gapful number since it is divisible by the number (40) 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 4529728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5420101500).

4529728640 is an abundant number, since it is smaller than the sum of its proper divisors (6310474360).

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

4529728640 is a wasteful number, since it uses less digits than its factorization.

4529728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7417 (or 7405 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 47.

The square root of 4529728640 is about 67303.2587621134. The cubic root of 4529728640 is about 1654.5912700827.

It can be divided in two parts, 45297 and 28640, that added together give a palindrome (73937).

The spelling of 4529728640 in words is "four billion, five hundred twenty-nine million, seven hundred twenty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1129 2258 4516 5645 6269 9032 11290 12538 18064 22580 25076 31345 36128 45160 50152 62690 72256 90320 100304 125380 144512 180640 200608 250760 361280 401216 501520 722560 802432 1003040 2006080 4012160 7077701 14155402 28310804 35388505 56621608 70777010 113243216 141554020 226486432 283108040 452972864 566216080 905945728 1132432160 2264864320 4529728640