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4294574064 = 2432113318191
BaseRepresentation
bin1111111111111001…
…1111111111110000
3102002021222222002200
43333332133333300
532243402332224
61550051343200
7211265164044
oct37776377760
912067888080
104294574064
1119041a2070
129ba2b1b00
1353596c8b1
142ca514024
151a20615c9
hexfff9fff0

4294574064 has 120 divisors (see below), whose sum is σ = 13152681984. Its totient is φ = 1297296000.

The previous prime is 4294574059. The next prime is 4294574087. The reversal of 4294574064 is 4604754924.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 520209 + ... + 528399.

Almost surely, 24294574064 is an apocalyptic number.

4294574064 is a gapful number since it is divisible by the number (44) 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 4294574064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6576340992).

4294574064 is an abundant number, since it is smaller than the sum of its proper divisors (8858107920).

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

4294574064 is a wasteful number, since it uses less digits than its factorization.

4294574064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8547 (or 8538 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 4294574064 is about 65532.9998092564. Note that the first 3 decimals coincide. The cubic root of 4294574064 is about 1625.4490674000.

The spelling of 4294574064 in words is "four billion, two hundred ninety-four million, five hundred seventy-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 331 396 528 662 792 993 1324 1584 1986 2648 2979 3641 3972 5296 5958 7282 7944 8191 10923 11916 14564 15888 16382 21846 23832 24573 29128 32764 32769 43692 47664 49146 58256 65528 65538 73719 87384 90101 98292 131056 131076 147438 174768 180202 196584 262152 270303 294876 360404 393168 524304 540606 589752 720808 810909 1081212 1179504 1441616 1621818 2162424 2711221 3243636 4324848 5422442 6487272 8133663 10844884 12974544 16267326 21689768 24400989 29823431 32534652 43379536 48801978 59646862 65069304 89470293 97603956 119293724 130138608 178940586 195207912 238587448 268410879 357881172 390415824 477174896 536821758 715762344 1073643516 1431524688 2147287032 4294574064