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468786132 = 2232125910343
BaseRepresentation
bin11011111100010…
…001101111010100
31012200002210200100
4123330101233110
51430002124012
6114303414100
714421421263
oct3374215724
91180083610
10468786132
11220687a61
12110bb4330
1376176759
144638c5da
152b24e8dc
hex1bf11bd4

468786132 has 36 divisors (see below), whose sum is σ = 1186043040. Its totient is φ = 156122832.

The previous prime is 468786127. The next prime is 468786133. The reversal of 468786132 is 231687864.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468786133) 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 11 ways as a sum of consecutive naturals, for example, 40153 + ... + 50495.

It is an arithmetic number, because the mean of its divisors is an integer number (32945640).

Almost surely, 2468786132 is an apocalyptic number.

It is an amenable number.

468786132 is an abundant number, since it is smaller than the sum of its proper divisors (717256908).

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

468786132 is a wasteful number, since it uses less digits than its factorization.

468786132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11612 (or 11607 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 468786132 is about 21651.4695113288. The cubic root of 468786132 is about 776.8280851801.

The spelling of 468786132 in words is "four hundred sixty-eight million, seven hundred eighty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1259 2518 3777 5036 7554 10343 11331 15108 20686 22662 31029 41372 45324 62058 93087 124116 186174 372348 13021837 26043674 39065511 52087348 78131022 117196533 156262044 234393066 468786132