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66795264 = 283253547
BaseRepresentation
bin1111111011001…
…1011100000000
311122200112212200
43332303130000
5114044422024
610343353200
71440515244
oct376633400
9148615780
1066795264
11347822a8
121a452800
1310ab8c33
148c2a424
155ce62c9
hex3fb3700

66795264 has 108 divisors (see below), whose sum is σ = 196579656. Its totient is φ = 21805056.

The previous prime is 66795263. The next prime is 66795277. The reversal of 66795264 is 46259766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66795263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121839 + ... + 122385.

It is an arithmetic number, because the mean of its divisors is an integer number (1820182).

Almost surely, 266795264 is an apocalyptic number.

66795264 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66795264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98289828).

66795264 is an abundant number, since it is smaller than the sum of its proper divisors (129784392).

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

66795264 is a wasteful number, since it uses less digits than its factorization.

66795264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 605 counting only the distinct ones).

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

The square root of 66795264 is about 8172.8369615452. The cubic root of 66795264 is about 405.7406838984.

The spelling of 66795264 in words is "sixty-six million, seven hundred ninety-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 256 288 318 384 424 477 547 576 636 768 848 954 1094 1152 1272 1641 1696 1908 2188 2304 2544 3282 3392 3816 4376 4923 5088 6564 6784 7632 8752 9846 10176 13128 13568 15264 17504 19692 20352 26256 28991 30528 35008 39384 40704 52512 57982 61056 70016 78768 86973 105024 115964 122112 140032 157536 173946 210048 231928 260919 315072 347892 420096 463856 521838 630144 695784 927712 1043676 1260288 1391568 1855424 2087352 2783136 3710848 4174704 5566272 7421696 8349408 11132544 16698816 22265088 33397632 66795264