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5738448375 = 335311154571
BaseRepresentation
bin1010101100000100…
…11100010111110111
3112210220220101022000
411112002130113313
543223020322000
62345230510343
7262130002122
oct52602342767
915726811260
105738448375
112485228220
1211419653b3
13705b404aa
143c61a73b9
15238bc1000
hex15609c5f7

5738448375 has 64 divisors (see below), whose sum is σ = 11574351360. Its totient is φ = 2782260000.

The previous prime is 5738448329. The next prime is 5738448431.

It is a happy number.

5738448375 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5738448375 - 28 = 5738448119 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40161 + ... + 114410.

It is an arithmetic number, because the mean of its divisors is an integer number (180849240).

Almost surely, 25738448375 is an apocalyptic number.

5738448375 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5738448375 is an abundant number, since it is smaller than the sum of its proper divisors (5835902985).

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

5738448375 is a wasteful number, since it uses less digits than its factorization.

5738448375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154606 (or 154590 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The square root of 5738448375 is about 75752.5469868835. The cubic root of 5738448375 is about 1790.3234203323.

The spelling of 5738448375 in words is "five billion, seven hundred thirty-eight million, four hundred forty-eight thousand, three hundred seventy-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 125 135 165 225 275 297 375 495 675 825 1125 1375 1485 2475 3375 4125 7425 12375 37125 154571 463713 772855 1391139 1700281 2318565 3864275 4173417 5100843 6955695 8501405 11592825 15302529 19321375 20867085 25504215 34778475 42507025 45907587 57964125 76512645 104335425 127521075 173892375 212535125 229537935 382563225 521677125 637605375 1147689675 1912816125 5738448375