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61908 = 22371167
BaseRepresentation
bin1111000111010100
310010220220
433013110
53440113
61154340
7345330
oct170724
9103826
1061908
1142570
122b9b0
1322242
14187c0
1513523
hexf1d4

61908 has 48 divisors (see below), whose sum is σ = 182784. Its totient is φ = 15840.

The previous prime is 61879. The next prime is 61909. The reversal of 61908 is 80916.

It can be divided in two parts, 61 and 908, that added together give a palindrome (969).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61909) by changing a digit.

61908 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 15 ways as a sum of consecutive naturals, for example, 891 + ... + 957.

It is an arithmetic number, because the mean of its divisors is an integer number (3808).

261908 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 61908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91392).

61908 is an abundant number, since it is smaller than the sum of its proper divisors (120876).

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

61908 is a wasteful number, since it uses less digits than its factorization.

61908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 61908 is about 248.8131829305. The cubic root of 61908 is about 39.5593297376.

The spelling of 61908 in words is "sixty-one thousand, nine hundred eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 67 77 84 132 134 154 201 231 268 308 402 462 469 737 804 924 938 1407 1474 1876 2211 2814 2948 4422 5159 5628 8844 10318 15477 20636 30954 61908