| Base | Representation |
|---|---|
| bin | 1001001111010… |
| … | …10100001001000 |
| 3 | 12101211202010000 |
| 4 | 10213222201020 |
| 5 | 124320203012 |
| 6 | 11405123000 |
| 7 | 1630536600 |
| oct | 447524110 |
| 9 | 171752100 |
| 10 | 77506632 |
| 11 | 3a828975 |
| 12 | 21b59460 |
| 13 | 13099518 |
| 14 | a417c00 |
| 15 | 6c0eddc |
| hex | 49ea848 |
77506632 has 120 divisors (see below), whose sum is σ = 252637110. Its totient is φ = 22135680.
The previous prime is 77506631. The next prime is 77506633. The reversal of 77506632 is 23660577.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (77506631) and next prime (77506633).
It can be written as a sum of positive squares in only one way, i.e., 75585636 + 1920996 = 8694^2 + 1386^2 .
It is a super-3 number, since 3×775066323 (a number of 25 digits) contains 333 as substring.
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 (77506631) 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 29 ways as a sum of consecutive naturals, for example, 30532 + ... + 32972.
Almost surely, 277506632 is an apocalyptic number.
77506632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 77506632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126318555).
77506632 is an abundant number, since it is smaller than the sum of its proper divisors (175130478).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
77506632 is a wasteful number, since it uses less digits than its factorization.
77506632 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2473 (or 2453 counting only the distinct ones).
The product of its (nonzero) digits is 52920, while the sum is 36.
The square root of 77506632 is about 8803.7850950600. The cubic root of 77506632 is about 426.3631103634.
The spelling of 77506632 in words is "seventy-seven million, five hundred six thousand, six hundred thirty-two".
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