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133493418 = 23217436253
BaseRepresentation
bin1111111010011…
…11001010101010
3100022012011112200
413331033022222
5233133242133
621125121030
73210450432
oct775171252
9308164480
10133493418
1169398643
1238859176
132186c8b6
1413a2d2c2
15babd913
hex7f4f2aa

133493418 has 24 divisors (see below), whose sum is σ = 306250308. Its totient is φ = 41880192.

The previous prime is 133493407. The next prime is 133493429. The reversal of 133493418 is 814394331.

It is an interprime number because it is at equal distance from previous prime (133493407) and next prime (133493429).

It can be written as a sum of positive squares in 2 ways, for example, as 133471809 + 21609 = 11553^2 + 147^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 217821 + ... + 218432.

Almost surely, 2133493418 is an apocalyptic number.

133493418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

133493418 is an abundant number, since it is smaller than the sum of its proper divisors (172756890).

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

133493418 is a wasteful number, since it uses less digits than its factorization.

133493418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436278 (or 436275 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 133493418 is about 11553.9351737839. The cubic root of 133493418 is about 511.0773304741.

The spelling of 133493418 in words is "one hundred thirty-three million, four hundred ninety-three thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 436253 872506 1308759 2617518 3926277 7416301 7852554 14832602 22248903 44497806 66746709 133493418