Base | Representation |
---|---|
bin | 1001001011011… |
… | …10110101010110 |
3 | 12100220000011200 |
4 | 10211232311112 |
5 | 124203000042 |
6 | 11350213330 |
7 | 1623326601 |
oct | 445566526 |
9 | 170800150 |
10 | 77000022 |
11 | 3a512290 |
12 | 21954246 |
13 | 12c4ca58 |
14 | a325338 |
15 | 6b5ec4c |
hex | 496ed56 |
77000022 has 48 divisors (see below), whose sum is σ = 183233232. Its totient is φ = 23175360.
The previous prime is 77000003. The next prime is 77000029. The reversal of 77000022 is 22000077.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a zygodrome in base 10.
It is a junction number, because it is equal to n+sod(n) for n = 76999959 and 77000004.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (77000029) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29848 + ... + 32324.
It is an arithmetic number, because the mean of its divisors is an integer number (3817359).
Almost surely, 277000022 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 77000022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91616616).
77000022 is an abundant number, since it is smaller than the sum of its proper divisors (106233210).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
77000022 is a wasteful number, since it uses less digits than its factorization.
77000022 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2653 (or 2650 counting only the distinct ones).
The product of its (nonzero) digits is 196, while the sum is 18.
The square root of 77000022 is about 8774.9656409584. The cubic root of 77000022 is about 425.4321270288.
Adding to 77000022 its reverse (22000077), we get a palindrome (99000099).
Subtracting from 77000022 its reverse (22000077), we obtain a palindrome (54999945).
The spelling of 77000022 in words is "seventy-seven million, twenty-two", and thus it is an aban number and an uban number.
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