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66115452 = 223134110337
BaseRepresentation
bin1111110000110…
…1011101111100
311121102000100110
43330031131330
5113411143302
610321030020
71431654264
oct374153574
9147360313
1066115452
1134358577
121a185310
131090b690
148ad07a4
155c0eb6c
hex3f0d77c

66115452 has 48 divisors (see below), whose sum is σ = 170204832. Its totient is φ = 19845120.

The previous prime is 66115403. The next prime is 66115453. The reversal of 66115452 is 25451166.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66115453) 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, 1228 + ... + 11564.

It is an arithmetic number, because the mean of its divisors is an integer number (3545934).

Almost surely, 266115452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66115452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85102416).

66115452 is an abundant number, since it is smaller than the sum of its proper divisors (104089380).

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

66115452 is a wasteful number, since it uses less digits than its factorization.

66115452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10398 (or 10396 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

The square root of 66115452 is about 8131.1408793600. The cubic root of 66115452 is about 404.3595058272.

The spelling of 66115452 in words is "sixty-six million, one hundred fifteen thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 78 82 123 156 164 246 492 533 1066 1599 2132 3198 6396 10337 20674 31011 41348 62022 124044 134381 268762 403143 423817 537524 806286 847634 1271451 1612572 1695268 2542902 5085804 5509621 11019242 16528863 22038484 33057726 66115452