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61061742 = 2337247491
BaseRepresentation
bin1110100011101…
…1101001101110
311020220020222000
43220323221232
5111112433432
610020433130
71341005400
oct350735156
9136806860
1061061742
1131516655
12185487a6
13c85c311
148176b70
15556257c
hex3a3ba6e

61061742 has 96 divisors (see below), whose sum is σ = 161533440. Its totient is φ = 17040240.

The previous prime is 61061717. The next prime is 61061753. The reversal of 61061742 is 24716016.

61061742 is a `hidden beast` number, since 6 + 1 + 0 + 617 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124117 + ... + 124607.

It is an arithmetic number, because the mean of its divisors is an integer number (1682640).

Almost surely, 261061742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61061742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80766720).

61061742 is an abundant number, since it is smaller than the sum of its proper divisors (100471698).

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

61061742 is a wasteful number, since it uses less digits than its factorization.

61061742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 61061742 is about 7814.2013027564. The cubic root of 61061742 is about 393.7824862086.

Adding to 61061742 its reverse (24716016), we get a palindrome (85777758).

The spelling of 61061742 in words is "sixty-one million, sixty-one thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 47 49 54 63 94 98 126 141 147 189 282 294 329 378 423 441 491 658 846 882 982 987 1269 1323 1473 1974 2303 2538 2646 2946 2961 3437 4419 4606 5922 6874 6909 8838 8883 10311 13257 13818 17766 20622 20727 23077 24059 26514 30933 41454 46154 48118 61866 62181 69231 72177 92799 124362 138462 144354 161539 185598 207693 216531 323078 415386 433062 484617 623079 649593 969234 1130773 1246158 1299186 1453851 2261546 2907702 3392319 4361553 6784638 8723106 10176957 20353914 30530871 61061742