Search a number
-
+
50958768 = 2437374099
BaseRepresentation
bin1100001001100…
…1000110110000
310112212222021210
43002121012300
5101021140033
65020120120
71156066560
oct302310660
9115788253
1050958768
1126846093
1215096040
13a732923
146aa6da0
154718d63
hex30991b0

50958768 has 80 divisors (see below), whose sum is σ = 154553600. Its totient is φ = 14162688.

The previous prime is 50958767. The next prime is 50958797. The reversal of 50958768 is 86785905.

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 (50958767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10383 + ... + 14481.

It is an arithmetic number, because the mean of its divisors is an integer number (1931920).

Almost surely, 250958768 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 50958768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77276800).

50958768 is an abundant number, since it is smaller than the sum of its proper divisors (103594832).

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

50958768 is a wasteful number, since it uses less digits than its factorization.

50958768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4154 (or 4148 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The square root of 50958768 is about 7138.5410274089. The cubic root of 50958768 is about 370.7430114355.

The spelling of 50958768 in words is "fifty million, nine hundred fifty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 168 222 259 296 336 444 518 592 777 888 1036 1554 1776 2072 3108 4099 4144 6216 8198 12297 12432 16396 24594 28693 32792 49188 57386 65584 86079 98376 114772 151663 172158 196752 229544 303326 344316 454989 459088 606652 688632 909978 1061641 1213304 1377264 1819956 2123282 2426608 3184923 3639912 4246564 6369846 7279824 8493128 12739692 16986256 25479384 50958768