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66275496 = 2334719769
BaseRepresentation
bin1111110011010…
…0100010101000
311121201010220000
43330310202220
5113431303441
610324303000
71433222010
oct374644250
9147633800
1066275496
1134457841
121a241a60
1310966491
148b32c40
155c422b6
hex3f348a8

66275496 has 160 divisors (see below), whose sum is σ = 223608000. Its totient is φ = 17915904.

The previous prime is 66275491. The next prime is 66275497. The reversal of 66275496 is 69457266.

66275496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×662754963 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (66275491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 85800 + ... + 86568.

It is an arithmetic number, because the mean of its divisors is an integer number (1397550).

Almost surely, 266275496 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 66275496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111804000).

66275496 is an abundant number, since it is smaller than the sum of its proper divisors (157332504).

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

66275496 is a wasteful number, since it uses less digits than its factorization.

66275496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 800 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 66275496 is about 8140.9763542219. The cubic root of 66275496 is about 404.6855171839.

The spelling of 66275496 in words is "sixty-six million, two hundred seventy-five thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 81 84 108 114 126 133 152 162 168 171 189 216 228 252 266 324 342 378 399 456 504 513 532 567 648 684 756 769 798 1026 1064 1134 1197 1368 1512 1538 1539 1596 2052 2268 2307 2394 3076 3078 3192 3591 4104 4536 4614 4788 5383 6152 6156 6921 7182 9228 9576 10766 10773 12312 13842 14364 14611 16149 18456 20763 21532 21546 27684 28728 29222 32298 41526 43064 43092 43833 48447 55368 58444 62289 64596 83052 86184 87666 96894 102277 116888 124578 129192 131499 145341 166104 175332 193788 204554 249156 262998 290682 306831 350664 387576 394497 409108 436023 498312 525996 581364 613662 788994 818216 872046 920493 1051992 1162728 1183491 1227324 1577988 1744092 1840986 2366982 2454648 2761479 3155976 3488184 3681972 4733964 5522958 7363944 8284437 9467928 11045916 16568874 22091832 33137748 66275496