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133833056 = 2575311273
BaseRepresentation
bin1111111101000…
…10000101100000
3100022211102102212
413332202011200
5233230124211
621140301252
73213363560
oct776420540
9308742385
10133833056
11695aa835
12389a1828
132195b376
1413abada0
15bb3938b
hex7fa2160

133833056 has 48 divisors (see below), whose sum is σ = 306833184. Its totient is φ = 56269824.

The previous prime is 133833053. The next prime is 133833097. The reversal of 133833056 is 650338331.

It is a super-2 number, since 2×1338330562 = 35822573756598272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133833053) 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 7 ways as a sum of consecutive naturals, for example, 6236 + ... + 17508.

It is an arithmetic number, because the mean of its divisors is an integer number (6392358).

Almost surely, 2133833056 is an apocalyptic number.

133833056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133833056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153416592).

133833056 is an abundant number, since it is smaller than the sum of its proper divisors (173000128).

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

133833056 is a wasteful number, since it uses less digits than its factorization.

133833056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11343 (or 11335 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

The square root of 133833056 is about 11568.6237729472. The cubic root of 133833056 is about 511.5103962198.

The spelling of 133833056 in words is "one hundred thirty-three million, eight hundred thirty-three thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 106 112 212 224 371 424 742 848 1484 1696 2968 5936 11273 11872 22546 45092 78911 90184 157822 180368 315644 360736 597469 631288 1194938 1262576 2389876 2525152 4182283 4779752 8364566 9559504 16729132 19119008 33458264 66916528 133833056