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66298336 = 2513315397
BaseRepresentation
bin1111110011101…
…0000111100000
311121202022012221
43330322013200
5113433021321
610325000424
71433345416
oct374720740
9147668187
1066298336
1134472a15
121a253114
13109739b0
148b3b2b6
155c48e41
hex3f3a1e0

66298336 has 96 divisors (see below), whose sum is σ = 149361408. Its totient is φ = 28753920.

The previous prime is 66298333. The next prime is 66298357. The reversal of 66298336 is 63389266.

It is a junction number, because it is equal to n+sod(n) for n = 66298292 and 66298301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66298333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 683440 + ... + 683536.

It is an arithmetic number, because the mean of its divisors is an integer number (1555848).

Almost surely, 266298336 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 66298336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74680704).

66298336 is an abundant number, since it is smaller than the sum of its proper divisors (83063072).

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

66298336 is a wasteful number, since it uses less digits than its factorization.

66298336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 196 counting only the distinct ones).

The product of its digits is 279936, while the sum is 43.

The square root of 66298336 is about 8142.3790135316. The cubic root of 66298336 is about 404.7319997011.

The spelling of 66298336 in words is "sixty-six million, two hundred ninety-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 53 62 97 104 106 124 194 208 212 248 388 403 416 424 496 689 776 806 848 992 1261 1378 1552 1612 1643 1696 2522 2756 3007 3104 3224 3286 5044 5141 5512 6014 6448 6572 10088 10282 11024 12028 12896 13144 20176 20564 21359 22048 24056 26288 39091 40352 41128 42718 48112 52576 66833 78182 82256 85436 96224 133666 156364 159371 164512 170872 267332 312728 318742 341744 534664 625456 637484 683488 1069328 1250912 1274968 2071823 2138656 2549936 4143646 5099872 8287292 16574584 33149168 66298336