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916405540 = 22545820277
BaseRepresentation
bin110110100111110…
…011110100100100
32100212101020001221
4312213303310210
53334044434130
6230533430124
731465214161
oct6647636444
92325336057
10916405540
11430318056
12216a9b344
13117b1b9cb
14899cb068
15556bc87a
hex369f3d24

916405540 has 12 divisors (see below), whose sum is σ = 1924451676. Its totient is φ = 366562208.

The previous prime is 916405531. The next prime is 916405541. The reversal of 916405540 is 45504619.

It can be written as a sum of positive squares in 2 ways, for example, as 207994084 + 708411456 = 14422^2 + 26616^2 .

It is a super-2 number, since 2×9164055402 = 1679598227485383200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 916405496 and 916405505.

It is not an unprimeable number, because it can be changed into a prime (916405541) 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 3 ways as a sum of consecutive naturals, for example, 22910119 + ... + 22910158.

It is an arithmetic number, because the mean of its divisors is an integer number (160370973).

Almost surely, 2916405540 is an apocalyptic number.

It is an amenable number.

916405540 is an abundant number, since it is smaller than the sum of its proper divisors (1008046136).

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

916405540 is a wasteful number, since it uses less digits than its factorization.

916405540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45820286 (or 45820284 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 916405540 is about 30272.1908688486. The cubic root of 916405540 is about 971.3205311340.

The spelling of 916405540 in words is "nine hundred sixteen million, four hundred five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 45820277 91640554 183281108 229101385 458202770 916405540