Search a number
-
+
66269448 = 23337411069
BaseRepresentation
bin1111110011001…
…1000100001000
311121200211121000
43330303010020
5113431110243
610324215000
71433165250
oct374630410
9147624530
1066269448
1134453243
121a23a460
13109637bb
148b30960
155c405d3
hex3f33108

66269448 has 128 divisors (see below), whose sum is σ = 215712000. Its totient is φ = 18455040.

The previous prime is 66269419. The next prime is 66269461. The reversal of 66269448 is 84496266.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61458 + ... + 62526.

It is an arithmetic number, because the mean of its divisors is an integer number (1685250).

Almost surely, 266269448 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 66269448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107856000).

66269448 is an abundant number, since it is smaller than the sum of its proper divisors (149442552).

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

66269448 is a wasteful number, since it uses less digits than its factorization.

66269448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1122 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 66269448 is about 8140.6048915299. The cubic root of 66269448 is about 404.6732068902.

The spelling of 66269448 in words is "sixty-six million, two hundred sixty-nine thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 41 42 54 56 63 72 82 84 108 123 126 164 168 189 216 246 252 287 328 369 378 492 504 574 738 756 861 984 1069 1107 1148 1476 1512 1722 2138 2214 2296 2583 2952 3207 3444 4276 4428 5166 6414 6888 7483 7749 8552 8856 9621 10332 12828 14966 15498 19242 20664 22449 25656 28863 29932 30996 38484 43829 44898 57726 59864 61992 67347 76968 87658 89796 115452 131487 134694 175316 179592 202041 230904 262974 269388 306803 350632 394461 404082 525948 538776 613606 788922 808164 920409 1051896 1183383 1227212 1577844 1616328 1840818 2366766 2454424 2761227 3155688 3681636 4733532 5522454 7363272 8283681 9467064 11044908 16567362 22089816 33134724 66269448