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66089844 = 2234372149
BaseRepresentation
bin1111110000011…
…1001101110100
311121100201020000
43330013031310
5113404333334
610320311300
71431516522
oct374071564
9147321200
1066089844
1134340307
121a172530
13108ccb22
148ac5312
155c07299
hex3f07374

66089844 has 90 divisors (see below), whose sum is σ = 178759350. Its totient is φ = 21290688.

The previous prime is 66089819. The next prime is 66089857. The reversal of 66089844 is 44898066.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 22924944 + 43164900 = 4788^2 + 6570^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 66089844.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 443482 + ... + 443630.

It is an arithmetic number, because the mean of its divisors is an integer number (1986215).

Almost surely, 266089844 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 66089844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89379675).

66089844 is an abundant number, since it is smaller than the sum of its proper divisors (112669506).

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

66089844 is a wasteful number, since it uses less digits than its factorization.

66089844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 66089844 is about 8129.5660400786. The cubic root of 66089844 is about 404.3072932451.

The spelling of 66089844 in words is "sixty-six million, eighty-nine thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 149 162 222 298 324 333 444 447 596 666 894 999 1332 1341 1369 1788 1998 2682 2738 2997 3996 4023 4107 5364 5476 5513 5994 8046 8214 11026 11988 12069 12321 16092 16428 16539 22052 24138 24642 33078 36963 48276 49284 49617 66156 73926 99234 110889 147852 148851 198468 203981 221778 297702 407962 443556 446553 595404 611943 815924 893106 1223886 1786212 1835829 2447772 3671658 5507487 7343316 11014974 16522461 22029948 33044922 66089844