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133805826 = 232711293329
BaseRepresentation
bin1111111100110…
…11011100000010
3100022210001002100
413332123130002
5233223241301
621135531230
73213221310
oct776333402
9308701070
10133805826
1169591330
1238989b16
132194bb5b
1413ab10b0
15bb31286
hex7f9b702

133805826 has 96 divisors (see below), whose sum is σ = 374025600. Its totient is φ = 33546240.

The previous prime is 133805813. The next prime is 133805839. The reversal of 133805826 is 628508331.

It is an interprime number because it is at equal distance from previous prime (133805813) and next prime (133805839).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38530 + ... + 41858.

It is an arithmetic number, because the mean of its divisors is an integer number (3896100).

Almost surely, 2133805826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133805826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187012800).

133805826 is an abundant number, since it is smaller than the sum of its proper divisors (240219774).

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

133805826 is a wasteful number, since it uses less digits than its factorization.

133805826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3384 (or 3381 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 133805826 is about 11567.4468228732. The cubic root of 133805826 is about 511.4757028158.

The spelling of 133805826 in words is "one hundred thirty-three million, eight hundred five thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 29 33 42 58 63 66 77 87 99 126 154 174 198 203 231 261 319 406 462 522 609 638 693 957 1218 1386 1827 1914 2233 2871 3329 3654 4466 5742 6658 6699 9987 13398 19974 20097 23303 29961 36619 40194 46606 59922 69909 73238 96541 109857 139818 193082 209727 219714 256333 289623 329571 419454 512666 579246 659142 675787 768999 868869 1061951 1351574 1537998 1737738 2027361 2123902 2306997 3185853 4054722 4613994 6082083 6371706 7433657 9557559 12164166 14867314 19115118 22300971 44601942 66902913 133805826