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61446 = 23721119
BaseRepresentation
bin1111000000000110
310010021210
433000012
53431241
61152250
7344100
oct170006
9103253
1061446
1142190
122b686
1321c78
1418570
1513316
hexf006

61446 has 48 divisors (see below), whose sum is σ = 164160. Its totient is φ = 15120.

The previous prime is 61441. The next prime is 61463. The reversal of 61446 is 64416.

It is a super-2 number, since 2×614462 = 7551221832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61441) by changing a digit.

61446 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3225 + ... + 3243.

It is an arithmetic number, because the mean of its divisors is an integer number (3420).

261446 is an apocalyptic number.

61446 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 61446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82080).

61446 is an abundant number, since it is smaller than the sum of its proper divisors (102714).

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

61446 is a wasteful number, since it uses less digits than its factorization.

61446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 42 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 61446 is about 247.8830369348. The cubic root of 61446 is about 39.4606776329.

Subtracting from 61446 its sum of digits (21), we obtain a triangular number (61425 = T350).

61446 divided by its sum of digits (21) gives a triangular number (2926 = T76).

It can be divided in two parts, 6144 and 6, that multiplied together give a square (36864 = 1922).

The spelling of 61446 in words is "sixty-one thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 49 57 66 77 98 114 133 147 154 209 231 266 294 399 418 462 539 627 798 931 1078 1254 1463 1617 1862 2793 2926 3234 4389 5586 8778 10241 20482 30723 61446