Search a number
-
+
772016 = 24761113
BaseRepresentation
bin10111100011110110000
31110020000012
42330132300
5144201031
624314052
76363530
oct2743660
91406005
10772016
11488033
12312928
1321051b
141614c0
15103b2b
hexbc7b0

772016 has 40 divisors (see below), whose sum is σ = 1752864. Its totient is φ = 322560.

The previous prime is 772003. The next prime is 772019. The reversal of 772016 is 610277.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 771982 and 772000.

It is not an unprimeable number, because it can be changed into a prime (772019) 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 7 ways as a sum of consecutive naturals, for example, 6776 + ... + 6888.

2772016 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 772016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876432).

772016 is an abundant number, since it is smaller than the sum of its proper divisors (980848).

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

772016 is a wasteful number, since it uses less digits than its factorization.

772016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 772016 is about 878.6444104414. The cubic root of 772016 is about 91.7364860178.

The spelling of 772016 in words is "seven hundred seventy-two thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 61 112 113 122 226 244 427 452 488 791 854 904 976 1582 1708 1808 3164 3416 6328 6832 6893 12656 13786 27572 48251 55144 96502 110288 193004 386008 772016