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66295488 = 2637107461
BaseRepresentation
bin1111110011100…
…1011011000000
311121202011022110
43330321123000
5113432423423
610324535320
71433334210
oct374713300
9147664273
1066295488
1134470866
121a251540
13109725cc
148b3a240
155c48193
hex3f396c0

66295488 has 112 divisors (see below), whose sum is σ = 202777344. Its totient is φ = 18723840.

The previous prime is 66295459. The next prime is 66295507. The reversal of 66295488 is 88459266.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 143578 + ... + 144038.

It is an arithmetic number, because the mean of its divisors is an integer number (1810512).

Almost surely, 266295488 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 66295488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101388672).

66295488 is an abundant number, since it is smaller than the sum of its proper divisors (136481856).

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

66295488 is a wasteful number, since it uses less digits than its factorization.

66295488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 580 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 66295488 is about 8142.2041241914. The cubic root of 66295488 is about 404.7262042150.

The spelling of 66295488 in words is "sixty-six million, two hundred ninety-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 107 112 168 192 214 224 321 336 428 448 461 642 672 749 856 922 1284 1344 1383 1498 1712 1844 2247 2568 2766 2996 3227 3424 3688 4494 5136 5532 5992 6454 6848 7376 8988 9681 10272 11064 11984 12908 14752 17976 19362 20544 22128 23968 25816 29504 35952 38724 44256 47936 49327 51632 71904 77448 88512 98654 103264 143808 147981 154896 197308 206528 295962 309792 345289 394616 591924 619584 690578 789232 1035867 1183848 1381156 1578464 2071734 2367696 2762312 3156928 4143468 4735392 5524624 8286936 9470784 11049248 16573872 22098496 33147744 66295488