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5407728375 = 353723432083
BaseRepresentation
bin1010000100101001…
…10110001011110111
3111221212121001202010
411002110312023313
542033334302000
62252334215303
7251002634640
oct50224661367
914855531663
105407728375
112325581405
12106b054533
13682477a9a
143942b86c7
15219b44d50
hex1425362f7

5407728375 has 128 divisors (see below), whose sum is σ = 10985914368. Its totient is φ = 2308521600.

The previous prime is 5407728349. The next prime is 5407728409. The reversal of 5407728375 is 5738277045.

It is not a de Polignac number, because 5407728375 - 211 = 5407726327 is a prime.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 2595084 + ... + 2597166.

It is an arithmetic number, because the mean of its divisors is an integer number (85827456).

Almost surely, 25407728375 is an apocalyptic number.

5407728375 is an abundant number, since it is smaller than the sum of its proper divisors (5578185993).

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

5407728375 is a wasteful number, since it uses less digits than its factorization.

5407728375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 1646400, while the sum is 48.

The square root of 5407728375 is about 73537.2584136776. The cubic root of 5407728375 is about 1755.2472034311.

The spelling of 5407728375 in words is "five billion, four hundred seven million, seven hundred twenty-eight thousand, three hundred seventy-five".

Divisors: 1 3 5 7 15 21 23 25 35 43 69 75 105 115 125 129 161 175 215 301 345 375 483 525 575 645 805 875 903 989 1075 1505 1725 2083 2415 2625 2875 2967 3225 4025 4515 4945 5375 6249 6923 7525 8625 10415 12075 14581 14835 16125 20125 20769 22575 24725 31245 34615 37625 43743 47909 52075 60375 72905 74175 89569 103845 112875 123625 143727 156225 173075 218715 239545 260375 268707 335363 364525 370875 447845 519225 626983 718635 781125 865375 1006089 1093575 1197725 1343535 1676815 1822625 1880949 2060087 2239225 2596125 3134915 3593175 5030445 5467875 5988625 6180261 6717675 8384075 9404745 10300435 11196125 14420609 15674575 17965875 25152225 30901305 33588375 41920375 43261827 47023725 51502175 72103045 78372875 125761125 154506525 216309135 235118625 257510875 360515225 772532625 1081545675 1802576125 5407728375