Search a number
-
+
76804084 = 22723239499
BaseRepresentation
bin1001001001111…
…10111111110100
312100112001101201
410210332333310
5124130212314
611342102244
71621552420
oct444767764
9170461351
1076804084
113a399055
122187a984
1312bb1806
14a2b3b80
156b21b74
hex493eff4

76804084 has 48 divisors (see below), whose sum is σ = 161280000. Its totient is φ = 31290336.

The previous prime is 76804031. The next prime is 76804087. The reversal of 76804084 is 48040867.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76804087) 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 15 ways as a sum of consecutive naturals, for example, 153667 + ... + 154165.

It is an arithmetic number, because the mean of its divisors is an integer number (3360000).

Almost surely, 276804084 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 76804084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80640000).

76804084 is an abundant number, since it is smaller than the sum of its proper divisors (84475916).

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

76804084 is a wasteful number, since it uses less digits than its factorization.

76804084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 76804084 is about 8763.7939272897. The cubic root of 76804084 is about 425.0709620839.

The spelling of 76804084 in words is "seventy-six million, eight hundred four thousand, eighty-four".

Divisors: 1 2 4 7 14 23 28 46 92 161 239 322 478 499 644 956 998 1673 1996 3346 3493 5497 6692 6986 10994 11477 13972 21988 22954 38479 45908 76958 80339 119261 153916 160678 238522 321356 477044 834827 1669654 2743003 3339308 5486006 10972012 19201021 38402042 76804084