Search a number
-
+
77440068 = 223214914437
BaseRepresentation
bin1001001110110…
…10010001000100
312101201100210200
410213122101010
5124311040233
611403450500
71630141536
oct447322104
9171640720
1077440068
113a792962
1221b26a30
1313075134
14a3db856
156bea313
hex49da444

77440068 has 36 divisors (see below), whose sum is σ = 197078700. Its totient is φ = 25638336.

The previous prime is 77440061. The next prime is 77440123. The reversal of 77440068 is 86004477.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 22353984 + 55086084 = 4728^2 + 7422^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (77440061) 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 11 ways as a sum of consecutive naturals, for example, 1855 + ... + 12582.

Almost surely, 277440068 is an apocalyptic number.

It is an amenable number.

77440068 is an abundant number, since it is smaller than the sum of its proper divisors (119638632).

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

77440068 is a wasteful number, since it uses less digits than its factorization.

77440068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14596 (or 14591 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 77440068 is about 8800.0038636355. The cubic root of 77440068 is about 426.2410194672.

The spelling of 77440068 in words is "seventy-seven million, four hundred forty thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 149 298 447 596 894 1341 1788 2682 5364 14437 28874 43311 57748 86622 129933 173244 259866 519732 2151113 4302226 6453339 8604452 12906678 19360017 25813356 38720034 77440068