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66098256 = 24372157179
BaseRepresentation
bin1111110000100…
…1010001010000
311121101010202120
43330021101100
5113410121011
610320414240
71431553200
oct374112120
9147333676
1066098256
1134346664
121a177380
13109038c3
148ac8400
155c09a06
hex3f09450

66098256 has 120 divisors (see below), whose sum is σ = 201013920. Its totient is φ = 18660096.

The previous prime is 66098213. The next prime is 66098257. The reversal of 66098256 is 65289066.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66098257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 369175 + ... + 369353.

It is an arithmetic number, because the mean of its divisors is an integer number (1675116).

Almost surely, 266098256 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 66098256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100506960).

66098256 is an abundant number, since it is smaller than the sum of its proper divisors (134915664).

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

66098256 is a wasteful number, since it uses less digits than its factorization.

66098256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 66098256 is about 8130.0833944062. The cubic root of 66098256 is about 404.3244461007.

The spelling of 66098256 in words is "sixty-six million, ninety-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 157 168 179 196 294 314 336 358 392 471 537 588 628 716 784 942 1074 1099 1176 1253 1256 1432 1884 2148 2198 2352 2506 2512 2864 3297 3759 3768 4296 4396 5012 6594 7518 7536 7693 8592 8771 8792 10024 13188 15036 15386 17542 17584 20048 23079 26313 26376 28103 30072 30772 35084 46158 52626 52752 56206 60144 61544 70168 84309 92316 105252 112412 123088 140336 168618 184632 196721 210504 224824 337236 369264 393442 421008 449648 590163 674472 786884 1180326 1348944 1377047 1573768 2360652 2754094 3147536 4131141 4721304 5508188 8262282 9442608 11016376 16524564 22032752 33049128 66098256