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133553052 = 223219195253
BaseRepresentation
bin1111111010111…
…01101110011100
3100022022012100100
413331131232130
5233142144202
621130301100
73211116333
oct775355634
9308265310
10133553052
1169429426
1238887790
1321890a99
1413a46d1a
15bad141c
hex7f5db9c

133553052 has 36 divisors (see below), whose sum is σ = 355362280. Its totient is φ = 42174432.

The previous prime is 133553027. The next prime is 133553081. The reversal of 133553052 is 250355331.

133553052 is a `hidden beast` number, since 1 + 3 + 355 + 305 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96943 + ... + 98310.

Almost surely, 2133553052 is an apocalyptic number.

133553052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133553052 is an abundant number, since it is smaller than the sum of its proper divisors (221809228).

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

133553052 is a wasteful number, since it uses less digits than its factorization.

133553052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195282 (or 195277 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The square root of 133553052 is about 11556.5155648232. The cubic root of 133553052 is about 511.1534217372.

The spelling of 133553052 in words is "one hundred thirty-three million, five hundred fifty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 195253 390506 585759 781012 1171518 1757277 2343036 3514554 3709807 7029108 7419614 11129421 14839228 22258842 33388263 44517684 66776526 133553052