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133919829 = 32171376389
BaseRepresentation
bin1111111101101…
…11010001010101
3100022222211110200
413332313101111
5233240413304
621142211113
73214204551
oct776672125
9308884420
10133919829
1169659a4a
1238a23a99
132198ba04
1413b00861
15bb54e39
hex7fb7455

133919829 has 24 divisors (see below), whose sum is σ = 206345880. Its totient is φ = 83401728.

The previous prime is 133919789. The next prime is 133919831. The reversal of 133919829 is 928919331.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6275025 + 127644804 = 2505^2 + 11298^2 .

It is not a de Polignac number, because 133919829 - 27 = 133919701 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133909829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17767 + ... + 24155.

It is an arithmetic number, because the mean of its divisors is an integer number (8597745).

Almost surely, 2133919829 is an apocalyptic number.

It is an amenable number.

133919829 is a deficient number, since it is larger than the sum of its proper divisors (72426051).

133919829 is a wasteful number, since it uses less digits than its factorization.

133919829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6549 (or 6546 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 133919829 is about 11572.3735249084. The cubic root of 133919829 is about 511.6209212369.

It can be divided in two parts, 13391 and 9829, that added together give a triangular number (23220 = T215).

The spelling of 133919829 in words is "one hundred thirty-three million, nine hundred nineteen thousand, eight hundred twenty-nine".

Divisors: 1 3 9 17 51 137 153 411 1233 2329 6389 6987 19167 20961 57501 108613 325839 875293 977517 2625879 7877637 14879981 44639943 133919829