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133252248 = 23323283853
BaseRepresentation
bin1111111000101…
…00010010011000
3100021201220201110
413330110102120
5233103032443
621120020320
73205424343
oct774242230
9307656643
10133252248
1169243428
12387616a0
13217b6bac
14139a945a
15ba72233
hex7f14498

133252248 has 64 divisors (see below), whose sum is σ = 349251840. Its totient is φ = 42286464.

The previous prime is 133252241. The next prime is 133252253. The reversal of 133252248 is 842252331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133252241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155790 + ... + 156642.

It is an arithmetic number, because the mean of its divisors is an integer number (5457060).

Almost surely, 2133252248 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 133252248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174625920).

133252248 is an abundant number, since it is smaller than the sum of its proper divisors (215999592).

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

133252248 is a wasteful number, since it uses less digits than its factorization.

133252248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1164 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 133252248 is about 11543.4937518933. The cubic root of 133252248 is about 510.7693731692.

The spelling of 133252248 in words is "one hundred thirty-three million, two hundred fifty-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 283 552 566 849 853 1132 1698 1706 2264 2559 3396 3412 5118 6509 6792 6824 10236 13018 19527 19619 20472 26036 39054 39238 52072 58857 78108 78476 117714 156216 156952 235428 241399 470856 482798 724197 965596 1448394 1931192 2896788 5552177 5793576 11104354 16656531 22208708 33313062 44417416 66626124 133252248