| Base | Representation |
|---|---|
| bin | 1110101001100… |
| … | …0011001100000 |
| 3 | 11021121120002000 |
| 4 | 3222120121200 |
| 5 | 111212113012 |
| 6 | 10032524000 |
| 7 | 1344150060 |
| oct | 352303140 |
| 9 | 137546060 |
| 10 | 61441632 |
| 11 | 3175600a |
| 12 | 186b0600 |
| 13 | c9631c5 |
| 14 | 82353a0 |
| 15 | 55d9ddc |
| hex | 3a98660 |
61441632 has 96 divisors (see below), whose sum is σ = 204825600. Its totient is φ = 17553024.
The previous prime is 61441607. The next prime is 61441637. The reversal of 61441632 is 23614416.
61441632 is a `hidden beast` number, since 614 + 4 + 16 + 32 = 666.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 61441596 and 61441605.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (61441637) 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 15 ways as a sum of consecutive naturals, for example, 969 + ... + 11127.
It is an arithmetic number, because the mean of its divisors is an integer number (2133600).
Almost surely, 261441632 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 61441632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102412800).
61441632 is an abundant number, since it is smaller than the sum of its proper divisors (143383968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
61441632 is a wasteful number, since it uses less digits than its factorization.
61441632 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10185 (or 10171 counting only the distinct ones).
The product of its digits is 3456, while the sum is 27.
The square root of 61441632 is about 7838.4712795289. The cubic root of 61441632 is about 394.5974256624.
It can be divided in two parts, 6144 and 1632, that added together give a 5-th power (7776 = 65).
The spelling of 61441632 in words is "sixty-one million, four hundred forty-one thousand, six hundred thirty-two".
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