Search a number
-
+
47232417440 = 2551321746761
BaseRepresentation
bin101011111111010001…
…010111111010100000
311111220201010102002002
4223333101113322200
51233212444324230
633410454343132
73261314631635
oct537721277240
9144821112062
1047232417440
111903851733a
1291a205aaa8
1345b9582c00
142400d4818c
151366910545
hexaff457ea0

47232417440 has 72 divisors (see below), whose sum is σ = 120830514588. Its totient is φ = 17439651840.

The previous prime is 47232417413. The next prime is 47232417443. The reversal of 47232417440 is 4471423274.

It can be written as a sum of positive squares in 6 ways, for example, as 162511504 + 47069905936 = 12748^2 + 216956^2 .

It is a junction number, because it is equal to n+sod(n) for n = 47232417394 and 47232417403.

It is not an unprimeable number, because it can be changed into a prime (47232417443) 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, 846341 + ... + 900420.

Almost surely, 247232417440 is an apocalyptic number.

47232417440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47232417440 is an abundant number, since it is smaller than the sum of its proper divisors (73598097148).

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

47232417440 is a wasteful number, since it uses less digits than its factorization.

47232417440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746802 (or 1746781 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 38.

The spelling of 47232417440 in words is "forty-seven billion, two hundred thirty-two million, four hundred seventeen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 169 208 260 338 416 520 676 845 1040 1352 1690 2080 2704 3380 5408 6760 13520 27040 1746761 3493522 6987044 8733805 13974088 17467610 22707893 27948176 34935220 45415786 55896352 69870440 90831572 113539465 139740880 181663144 227078930 279481760 295202609 363326288 454157860 590405218 726652576 908315720 1180810436 1476013045 1816631440 2361620872 2952026090 3633262880 4723241744 5904052180 9446483488 11808104360 23616208720 47232417440