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66473472 = 293133329
BaseRepresentation
bin1111110110010…
…0111000000000
311122002012110110
43331210320000
5114004122342
610332431320
71435005132
oct375447000
9148065413
1066473472
113458255a
121a318540
1310a05620
148b85052
155c80c9c
hex3f64e00

66473472 has 80 divisors (see below), whose sum is σ = 190769040. Its totient is φ = 20447232.

The previous prime is 66473443. The next prime is 66473489. The reversal of 66473472 is 27437466.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 66473472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18304 + ... + 21632.

It is an arithmetic number, because the mean of its divisors is an integer number (2384613).

Almost surely, 266473472 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 66473472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95384520).

66473472 is an abundant number, since it is smaller than the sum of its proper divisors (124295568).

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

66473472 is a wasteful number, since it uses less digits than its factorization.

66473472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3363 (or 3347 counting only the distinct ones).

The product of its digits is 169344, while the sum is 39.

The square root of 66473472 is about 8153.1265168646. The cubic root of 66473472 is about 405.0880710769.

The spelling of 66473472 in words is "sixty-six million, four hundred seventy-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1248 1536 1664 2496 3328 3329 4992 6656 6658 9984 9987 13316 19968 19974 26632 39948 43277 53264 79896 86554 106528 129831 159792 173108 213056 259662 319584 346216 426112 519324 639168 692432 852224 1038648 1278336 1384864 1704448 2077296 2556672 2769728 4154592 5113344 5539456 8309184 11078912 16618368 22157824 33236736 66473472