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133826407 = 11133372777
BaseRepresentation
bin1111111101000…
…00011101100111
3100022211002022121
413332200131213
5233224421112
621140210411
73213335311
oct776403547
9308732277
10133826407
11695a5840
1238999a07
1321958330
1413ab87b1
15bb37407
hex7fa0767

133826407 has 16 divisors (see below), whose sum is σ = 157745952. Its totient is φ = 111928320.

The previous prime is 133826389. The next prime is 133826453. The reversal of 133826407 is 704628331.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 133826407 - 211 = 133824359 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133826477) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 46803 + ... + 49579.

It is an arithmetic number, because the mean of its divisors is an integer number (9859122).

Almost surely, 2133826407 is an apocalyptic number.

133826407 is a deficient number, since it is larger than the sum of its proper divisors (23919545).

133826407 is a wasteful number, since it uses less digits than its factorization.

133826407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3138.

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 133826407 is about 11568.3363972526. The cubic root of 133826407 is about 511.5019252460.

The spelling of 133826407 in words is "one hundred thirty-three million, eight hundred twenty-six thousand, four hundred seven".

Divisors: 1 11 13 143 337 2777 3707 4381 30547 36101 48191 397111 935849 10294339 12166037 133826407