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133035552 = 25321335533
BaseRepresentation
bin1111110110111…
…11011000100000
3100021022220110200
413323133120200
5233024114202
621111225200
73203532516
oct773373040
9307286420
10133035552
1169105641
1238678200
132173c380
14139504b6
15ba2ce1c
hex7edf620

133035552 has 72 divisors (see below), whose sum is σ = 407432844. Its totient is φ = 40932864.

The previous prime is 133035541. The next prime is 133035569. The reversal of 133035552 is 255530331.

It can be written as a sum of positive squares in 2 ways, for example, as 104775696 + 28259856 = 10236^2 + 5316^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14023 + ... + 21510.

Almost surely, 2133035552 is an apocalyptic number.

133035552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133035552 is an abundant number, since it is smaller than the sum of its proper divisors (274397292).

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

133035552 is a wasteful number, since it uses less digits than its factorization.

133035552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35562 (or 35551 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The square root of 133035552 is about 11534.1038663608. The cubic root of 133035552 is about 510.4923503717.

Adding to 133035552 its reverse (255530331), we get a palindrome (388565883).

The spelling of 133035552 in words is "one hundred thirty-three million, thirty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 35533 71066 106599 142132 213198 284264 319797 426396 461929 568528 639594 852792 923858 1137056 1279188 1385787 1705584 1847716 2558376 2771574 3411168 3695432 4157361 5116752 5543148 7390864 8314722 10233504 11086296 14781728 16629444 22172592 33258888 44345184 66517776 133035552