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445041135 = 3557116771
BaseRepresentation
bin11010100001101…
…100100111101111
31011000102102200000
4122201230213233
51402412304020
6112054435343
714012534010
oct3241544757
91130372600
10445041135
11209239aa0
12105062b53
1371281866
144316b007
152910e090
hex1a86c9ef

445041135 has 192 divisors, whose sum is σ = 1026514944. Its totient is φ = 179625600.

The previous prime is 445041133. The next prime is 445041197. The reversal of 445041135 is 531140544.

It is a happy number.

445041135 is a `hidden beast` number, since 44 + 504 + 113 + 5 = 666.

It is not a de Polignac number, because 445041135 - 21 = 445041133 is a prime.

It is a super-2 number, since 2×4450411352 = 396123223684176450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 445041099 and 445041108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445041131) 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 191 ways as a sum of consecutive naturals, for example, 6268150 + ... + 6268220.

It is an arithmetic number, because the mean of its divisors is an integer number (5346432).

Almost surely, 2445041135 is an apocalyptic number.

445041135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

445041135 is an abundant number, since it is smaller than the sum of its proper divisors (581473809).

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

445041135 is a wasteful number, since it uses less digits than its factorization.

445041135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 445041135 is about 21095.9980802047. The cubic root of 445041135 is about 763.4841957351.

Adding to 445041135 its reverse (531140544), we get a palindrome (976181679).

The spelling of 445041135 in words is "four hundred forty-five million, forty-one thousand, one hundred thirty-five".