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133826814 = 232113121803
BaseRepresentation
bin1111111101000…
…00100011111110
3100022211002212200
413332200203332
5233224424224
621140212330
73213336432
oct776404376
9308732780
10133826814
11695a6080
123899a0a6
1321958584
1413ab89c2
15bb375c9
hex7fa08fe

133826814 has 48 divisors (see below), whose sum is σ = 326536704. Its totient is φ = 39243600.

The previous prime is 133826807. The next prime is 133826827. The reversal of 133826814 is 418628331.

It is a super-2 number, since 2×1338268142 = 35819232290781192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4764 + ... + 17039.

It is an arithmetic number, because the mean of its divisors is an integer number (6802848).

Almost surely, 2133826814 is an apocalyptic number.

133826814 is an abundant number, since it is smaller than the sum of its proper divisors (192709890).

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

133826814 is a wasteful number, since it uses less digits than its factorization.

133826814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21853 (or 21850 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 133826814 is about 11568.3539883598. The cubic root of 133826814 is about 511.5024437811.

The spelling of 133826814 in words is "one hundred thirty-three million, eight hundred twenty-six thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 682 1023 2046 3069 6138 21803 43606 65409 130818 196227 239833 392454 479666 675893 719499 1351786 1438998 2027679 2158497 4055358 4316994 6083037 7434823 12166074 14869646 22304469 44608938 66913407 133826814