Search a number
-
+
76455468 = 22331923753
BaseRepresentation
bin1001000111010…
…01111000101100
312022212100012000
410203221320230
5124033033333
611330412300
71615601145
oct443517054
9168770160
1076455468
113a180141
1221731090
1312abbc2b
14a222acc
156aa3713
hex48e9e2c

76455468 has 144 divisors (see below), whose sum is σ = 218907360. Its totient is φ = 23048064.

The previous prime is 76455437. The next prime is 76455469. The reversal of 76455468 is 86455467.

It is not an unprimeable number, because it can be changed into a prime (76455469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1442530 + ... + 1442582.

It is an arithmetic number, because the mean of its divisors is an integer number (1520190).

Almost surely, 276455468 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 76455468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109453680).

76455468 is an abundant number, since it is smaller than the sum of its proper divisors (142451892).

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

76455468 is a wasteful number, since it uses less digits than its factorization.

76455468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 114 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 76455468 is about 8743.8817466844. The cubic root of 76455468 is about 424.4268500108.

Subtracting 76455468 from its reverse (86455467), we obtain a palindrome (9999999).

The spelling of 76455468 in words is "seventy-six million, four hundred fifty-five thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 37 38 53 54 57 74 76 106 108 111 114 148 159 171 212 222 228 318 333 342 361 444 477 513 636 666 684 703 722 954 999 1007 1026 1083 1332 1406 1431 1444 1908 1961 1998 2014 2052 2109 2166 2812 2862 3021 3249 3922 3996 4028 4218 4332 5724 5883 6042 6327 6498 7844 8436 9063 9747 11766 12084 12654 12996 13357 17649 18126 18981 19133 19494 23532 25308 26714 27189 35298 36252 37259 37962 38266 38988 40071 52947 53428 54378 57399 70596 74518 75924 76532 80142 105894 108756 111777 114798 120213 149036 160284 172197 211788 223554 229596 240426 335331 344394 360639 447108 480852 516591 670662 688788 707921 721278 1005993 1033182 1341324 1415842 1442556 2011986 2066364 2123763 2831684 4023972 4247526 6371289 8495052 12742578 19113867 25485156 38227734 76455468