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133088472 = 233211197853
BaseRepresentation
bin1111110111011…
…00010011011000
3100021102121001200
413323230103120
5233032312342
621112314200
73204143016
oct773542330
9307377050
10133088472
1169141380
12386a2960
132175a49a
14139658b6
15ba3d94c
hex7eec4d8

133088472 has 96 divisors (see below), whose sum is σ = 395675280. Its totient is φ = 40078080.

The previous prime is 133088471. The next prime is 133088477. The reversal of 133088472 is 274880331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133088471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155598 + ... + 156450.

Almost surely, 2133088472 is an apocalyptic number.

133088472 is a gapful number since it is divisible by the number (12) 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 133088472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197837640).

133088472 is an abundant number, since it is smaller than the sum of its proper divisors (262586808).

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

133088472 is a wasteful number, since it uses less digits than its factorization.

133088472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 133088472 is about 11536.3977046563. The cubic root of 133088472 is about 510.5600307109.

The spelling of 133088472 in words is "one hundred thirty-three million, eighty-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 197 198 264 394 396 591 788 792 853 1182 1576 1706 1773 2167 2364 2559 3412 3546 4334 4728 5118 6501 6824 7092 7677 8668 9383 10236 13002 14184 15354 17336 18766 19503 20472 26004 28149 30708 37532 39006 52008 56298 61416 75064 78012 84447 112596 156024 168041 168894 225192 336082 337788 504123 672164 675576 1008246 1344328 1512369 1848451 2016492 3024738 3696902 4032984 5545353 6049476 7393804 11090706 12098952 14787608 16636059 22181412 33272118 44362824 66544236 133088472