Search a number
-
+
66574944 = 2532271853
BaseRepresentation
bin1111110111110…
…1101001100000
311122021100122200
43331331221200
5114020344234
610334533200
71435610022
oct375755140
9148240580
1066574944
1134641817
121a367200
1310a3c877
148bb0012
155ca0d99
hex3f7da60

66574944 has 72 divisors (see below), whose sum is σ = 190243872. Its totient is φ = 22083840.

The previous prime is 66574913. The next prime is 66574961. The reversal of 66574944 is 44947566.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 66574944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77622 + ... + 78474.

It is an arithmetic number, because the mean of its divisors is an integer number (2642276).

Almost surely, 266574944 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 66574944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95121936).

66574944 is an abundant number, since it is smaller than the sum of its proper divisors (123668928).

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

66574944 is a wasteful number, since it uses less digits than its factorization.

66574944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1129 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 66574944 is about 8159.3470326981. The cubic root of 66574944 is about 405.2940890945.

The spelling of 66574944 in words is "sixty-six million, five hundred seventy-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 271 288 542 813 853 1084 1626 1706 2168 2439 2559 3252 3412 4336 4878 5118 6504 6824 7677 8672 9756 10236 13008 13648 15354 19512 20472 26016 27296 30708 39024 40944 61416 78048 81888 122832 231163 245664 462326 693489 924652 1386978 1849304 2080467 2773956 3698608 4160934 5547912 7397216 8321868 11095824 16643736 22191648 33287472 66574944