Search a number
-
+
77233086 = 2327797759
BaseRepresentation
bin1001001101001…
…11101110111110
312101022211212200
410212213232332
5124232424321
611355212330
71625320230
oct446475676
9171284780
1077233086
113a6613a7
1221a470a6
1313001b68
14a386250
156ba8d26
hex49a7bbe

77233086 has 48 divisors (see below), whose sum is σ = 193689600. Its totient is φ = 21784464.

The previous prime is 77233073. The next prime is 77233087. The reversal of 77233086 is 68033277.

It is a self number, because there is not a number n which added to its sum of digits gives 77233086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77233087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6075 + ... + 13833.

It is an arithmetic number, because the mean of its divisors is an integer number (4035200).

Almost surely, 277233086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77233086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96844800).

77233086 is an abundant number, since it is smaller than the sum of its proper divisors (116456514).

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

77233086 is a wasteful number, since it uses less digits than its factorization.

77233086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7853 (or 7850 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 77233086 is about 8788.2356591070. The cubic root of 77233086 is about 425.8609279553.

The spelling of 77233086 in words is "seventy-seven million, two hundred thirty-three thousand, eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 79 126 158 237 474 553 711 1106 1422 1659 3318 4977 7759 9954 15518 23277 46554 54313 69831 108626 139662 162939 325878 488817 612961 977634 1225922 1838883 3677766 4290727 5516649 8581454 11033298 12872181 25744362 38616543 77233086