Search a number
-
+
50518944 = 253378353
BaseRepresentation
bin1100000010110…
…1101110100000
310112001121222000
43000231232200
5100413101234
65002444000
71152255360
oct300555640
9115047860
1050518944
11265756a3
1214b03600
13a60a688
1469d09a0
15467d899
hex302dba0

50518944 has 96 divisors (see below), whose sum is σ = 168416640. Its totient is φ = 14432256.

The previous prime is 50518943. The next prime is 50518969. The reversal of 50518944 is 44981505.

50518944 is a `hidden beast` number, since 50 + 518 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 50518899 and 50518908.

It is not an unprimeable number, because it can be changed into a prime (50518943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1872 + ... + 10224.

It is an arithmetic number, because the mean of its divisors is an integer number (1754340).

Almost surely, 250518944 is an apocalyptic number.

50518944 is a gapful number since it is divisible by the number (54) 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 50518944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84208320).

50518944 is an abundant number, since it is smaller than the sum of its proper divisors (117897696).

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

50518944 is a wasteful number, since it uses less digits than its factorization.

50518944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8379 (or 8365 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 50518944 is about 7107.6679719863. The cubic root of 50518944 is about 369.6733030523.

The spelling of 50518944 in words is "fifty million, five hundred eighteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 8353 16706 25059 33412 50118 58471 66824 75177 100236 116942 133648 150354 175413 200472 225531 233884 267296 300708 350826 400944 451062 467768 526239 601416 701652 801888 902124 935536 1052478 1202832 1403304 1578717 1804248 1871072 2104956 2405664 2806608 3157434 3608496 4209912 5613216 6314868 7216992 8419824 12629736 16839648 25259472 50518944