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133378248 = 23341891523
BaseRepresentation
bin1111111001100…
…11000011001000
3100021222022120010
413330303003020
5233121100443
621122431520
73206460603
oct774630310
9307868503
10133378248
116931a063
12388025a0
132182c353
14139dd33a
15ba99733
hex7f330c8

133378248 has 64 divisors (see below), whose sum is σ = 345643200. Its totient is φ = 42859520.

The previous prime is 133378241. The next prime is 133378249. The reversal of 133378248 is 842873331.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (133378241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86815 + ... + 88337.

It is an arithmetic number, because the mean of its divisors is an integer number (5400675).

Almost surely, 2133378248 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 133378248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172821600).

133378248 is an abundant number, since it is smaller than the sum of its proper divisors (212264952).

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

133378248 is a wasteful number, since it uses less digits than its factorization.

133378248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1658 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 133378248 is about 11548.9500821503. The cubic root of 133378248 is about 510.9303127102.

The spelling of 133378248 in words is "one hundred thirty-three million, three hundred seventy-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 41 82 89 123 164 178 246 267 328 356 492 534 712 984 1068 1523 2136 3046 3649 4569 6092 7298 9138 10947 12184 14596 18276 21894 29192 36552 43788 62443 87576 124886 135547 187329 249772 271094 374658 406641 499544 542188 749316 813282 1084376 1498632 1626564 3253128 5557427 11114854 16672281 22229708 33344562 44459416 66689124 133378248