Search a number
-
+
66388032 = 2633103373
BaseRepresentation
bin1111110101000…
…0000001000000
311121220212021000
43331100001000
5113443404112
610330532000
71434201054
oct375200100
9147825230
1066388032
1134524347
121a297000
13109a5779
148b61c64
155c657dc
hex3f50040

66388032 has 112 divisors (see below), whose sum is σ = 197591680. Its totient is φ = 21855744.

The previous prime is 66388013. The next prime is 66388073. The reversal of 66388032 is 23088366.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177798 + ... + 178170.

Almost surely, 266388032 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 66388032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98795840).

66388032 is an abundant number, since it is smaller than the sum of its proper divisors (131203648).

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

66388032 is a wasteful number, since it uses less digits than its factorization.

66388032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 66388032 is about 8147.8851243743. The cubic root of 66388032 is about 404.9144400878.

The spelling of 66388032 in words is "sixty-six million, three hundred eighty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 103 108 144 192 206 216 288 309 373 412 432 576 618 746 824 864 927 1119 1236 1492 1648 1728 1854 2238 2472 2781 2984 3296 3357 3708 4476 4944 5562 5968 6592 6714 7416 8952 9888 10071 11124 11936 13428 14832 17904 19776 20142 22248 23872 26856 29664 35808 38419 40284 44496 53712 59328 71616 76838 80568 88992 107424 115257 153676 161136 177984 214848 230514 307352 322272 345771 461028 614704 644544 691542 922056 1037313 1229408 1383084 1844112 2074626 2458816 2766168 3688224 4149252 5532336 7376448 8298504 11064672 16597008 22129344 33194016 66388032