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133933768 = 2331752813
BaseRepresentation
bin1111111101110…
…10101011001000
3100100000112120221
413332322223020
5233241340033
621142355424
73214263313
oct776725310
9310015527
10133933768
1169669471
1238a2bb74
1321995167
1413b0597a
15bb5912d
hex7fbaac8

133933768 has 16 divisors (see below), whose sum is σ = 251922780. Its totient is φ = 66754368.

The previous prime is 133933763. The next prime is 133933781. The reversal of 133933768 is 867339331.

It can be written as a sum of positive squares in 2 ways, for example, as 83210884 + 50722884 = 9122^2 + 7122^2 .

It is a super-3 number, since 3×1339337683 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (133933763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23871 + ... + 28942.

Almost surely, 2133933768 is an apocalyptic number.

It is an amenable number.

133933768 is a deficient number, since it is larger than the sum of its proper divisors (117989012).

133933768 is a wasteful number, since it uses less digits than its factorization.

133933768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53136 (or 53132 counting only the distinct ones).

The product of its digits is 244944, while the sum is 43.

The square root of 133933768 is about 11572.9757625254. The cubic root of 133933768 is about 511.6386712511.

It can be divided in two parts, 13393 and 3768, that added together give a square (17161 = 1312).

The spelling of 133933768 in words is "one hundred thirty-three million, nine hundred thirty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 317 634 1268 2536 52813 105626 211252 422504 16741721 33483442 66966884 133933768