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5750674400 = 255211296367
BaseRepresentation
bin1010101101100010…
…00101001111100000
3112211202220112020202
411112301011033200
543234133040100
62350344524332
7262335632402
oct52661051740
915752815222
105750674400
112491118879
121145a806a8
13708531323
143c7a6ab72
15239cd87d5
hex156c453e0

5750674400 has 72 divisors (see below), whose sum is σ = 14053475520. Its totient is φ = 2297871360.

The previous prime is 5750674399. The next prime is 5750674403. The reversal of 5750674400 is 44760575.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5750674403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 900017 + ... + 906383.

It is an arithmetic number, because the mean of its divisors is an integer number (195187160).

Almost surely, 25750674400 is an apocalyptic number.

5750674400 is a gapful number since it is divisible by the number (50) 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 5750674400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7026737760).

5750674400 is an abundant number, since it is smaller than the sum of its proper divisors (8302801120).

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

5750674400 is a wasteful number, since it uses less digits than its factorization.

5750674400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7516 (or 7503 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 38.

The square root of 5750674400 is about 75833.2011720460. The cubic root of 5750674400 is about 1791.5939735665.

The spelling of 5750674400 in words is "five billion, seven hundred fifty million, six hundred seventy-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1129 2258 4516 5645 6367 9032 11290 12734 18064 22580 25468 28225 31835 36128 45160 50936 56450 63670 90320 101872 112900 127340 159175 180640 203744 225800 254680 318350 451600 509360 636700 903200 1018720 1273400 2546800 5093600 7188343 14376686 28753372 35941715 57506744 71883430 115013488 143766860 179708575 230026976 287533720 359417150 575067440 718834300 1150134880 1437668600 2875337200 5750674400