Search a number
-
+
55718976 = 2632910007
BaseRepresentation
bin1101010010001…
…1010001000000
310212211211001210
43110203101000
5103231001401
65310130120
71244413665
oct324432100
9125754053
1055718976
11294a7545
12167b0940
13b70b511
147585a6c
154d594d6
hex3523440

55718976 has 56 divisors (see below), whose sum is σ = 152521920. Its totient is φ = 17930752.

The previous prime is 55718969. The next prime is 55718977. The reversal of 55718976 is 67981755.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (55718977) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 565 + ... + 10571.

Almost surely, 255718976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55718976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76260960).

55718976 is an abundant number, since it is smaller than the sum of its proper divisors (96802944).

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

55718976 is a wasteful number, since it uses less digits than its factorization.

55718976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10051 (or 10041 counting only the distinct ones).

The product of its digits is 529200, while the sum is 48.

The square root of 55718976 is about 7464.5144517242. The cubic root of 55718976 is about 381.9451873512.

The spelling of 55718976 in words is "fifty-five million, seven hundred eighteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1392 1856 2784 5568 10007 20014 30021 40028 60042 80056 120084 160112 240168 290203 320224 480336 580406 640448 870609 960672 1160812 1741218 1921344 2321624 3482436 4643248 6964872 9286496 13929744 18572992 27859488 55718976