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66857238 = 23471929107
BaseRepresentation
bin1111111100001…
…0100100010110
311122210200220000
43333002210112
5114103412423
610344552130
71441164030
oct377024426
9148720800
1066857238
1134814918
121a482646
1310b0b1c6
148c44c50
155d09843
hex3fc2916

66857238 has 160 divisors (see below), whose sum is σ = 188179200. Its totient is φ = 17309376.

The previous prime is 66857227. The next prime is 66857279. The reversal of 66857238 is 83275866.

It is a junction number, because it is equal to n+sod(n) for n = 66857193 and 66857202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 624781 + ... + 624887.

It is an arithmetic number, because the mean of its divisors is an integer number (1176120).

Almost surely, 266857238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66857238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94089600).

66857238 is an abundant number, since it is smaller than the sum of its proper divisors (121321962).

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

66857238 is a wasteful number, since it uses less digits than its factorization.

66857238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 167 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 66857238 is about 8176.6275444097. The cubic root of 66857238 is about 405.8661299198.

The spelling of 66857238 in words is "sixty-six million, eight hundred fifty-seven thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 29 38 42 54 57 58 63 81 87 107 114 126 133 162 171 174 189 203 214 261 266 321 342 378 399 406 513 522 551 567 609 642 749 783 798 963 1026 1102 1134 1197 1218 1498 1539 1566 1653 1827 1926 2033 2247 2349 2394 2889 3078 3103 3306 3591 3654 3857 4066 4494 4698 4959 5481 5778 6099 6206 6741 7182 7714 8667 9309 9918 10773 10962 11571 12198 13482 14231 14877 16443 17334 18297 18618 20223 21546 21721 23142 27927 28462 29754 32886 34713 36594 40446 42693 43442 44631 54891 55854 58957 60669 65163 69426 83781 85386 89262 104139 109782 117914 121338 128079 130326 164673 167562 176871 195489 208278 251343 256158 312417 329346 353742 384237 390978 412699 502686 530613 586467 624834 768474 825398 1061226 1152711 1172934 1238097 1591839 1759401 2305422 2476194 3183678 3518802 3714291 4775517 7428582 9551034 11142873 22285746 33428619 66857238