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133916528 = 24311092477
BaseRepresentation
bin1111111101101…
…10011101110000
3100022222122221102
413332312131300
5233240312103
621142143532
73214162124
oct776663560
9308878842
10133916528
1169657519
1238a21ba8
132198a365
1413add584
15bb53e88
hex7fb6770

133916528 has 40 divisors (see below), whose sum is σ = 270399360. Its totient is φ = 64177920.

The previous prime is 133916521. The next prime is 133916543. The reversal of 133916528 is 825619331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 133916491 and 133916500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133916521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52826 + ... + 55302.

It is an arithmetic number, because the mean of its divisors is an integer number (6759984).

Almost surely, 2133916528 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 133916528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135199680).

133916528 is an abundant number, since it is smaller than the sum of its proper divisors (136482832).

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

133916528 is a wasteful number, since it uses less digits than its factorization.

133916528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2625 (or 2619 counting only the distinct ones).

The product of its digits is 38880, while the sum is 38.

The square root of 133916528 is about 11572.2308998741. The cubic root of 133916528 is about 511.6167175414.

The spelling of 133916528 in words is "one hundred thirty-three million, nine hundred sixteen thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 31 62 109 124 218 248 436 496 872 1744 2477 3379 4954 6758 9908 13516 19816 27032 39632 54064 76787 153574 269993 307148 539986 614296 1079972 1228592 2159944 4319888 8369783 16739566 33479132 66958264 133916528