| Base | Representation |
|---|---|
| bin | 1101100010010… |
| … | …0011000000100 |
| 3 | 10221211022200101 |
| 4 | 3120210120010 |
| 5 | 104013201400 |
| 6 | 5344453444 |
| 7 | 1256361220 |
| oct | 330443004 |
| 9 | 127738611 |
| 10 | 56772100 |
| 11 | 2a0567a0 |
| 12 | 1701a284 |
| 13 | b9b9978 |
| 14 | 777b780 |
| 15 | 4eb656a |
| hex | 3624604 |
56772100 has 144 divisors (see below), whose sum is σ = 157239936. Its totient is φ = 17280000.
The previous prime is 56772091. The next prime is 56772109. The reversal of 56772100 is 127765.
It is an interprime number because it is at equal distance from previous prime (56772091) and next prime (56772109).
It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (28).
It is not an unprimeable number, because it can be changed into a prime (56772109) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 562050 + ... + 562150.
It is an arithmetic number, because the mean of its divisors is an integer number (1091944).
Almost surely, 256772100 is an apocalyptic number.
56772100 is a gapful number since it is divisible by the number (50) 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 56772100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78619968).
56772100 is an abundant number, since it is smaller than the sum of its proper divisors (100467836).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
56772100 is a wasteful number, since it uses less digits than its factorization.
56772100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 206 (or 199 counting only the distinct ones).
The product of its (nonzero) digits is 2940, while the sum is 28.
The square root of 56772100 is about 7534.7262724003. The cubic root of 56772100 is about 384.3365196016.
Adding to 56772100 its reverse (127765), we get a palindrome (56899865).
It can be divided in two parts, 5677 and 2100, that added together give a palindrome (7777).
The spelling of 56772100 in words is "fifty-six million, seven hundred seventy-two thousand, one hundred".
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