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540424476 = 223220877193
BaseRepresentation
bin100000001101100…
…011100100011100
31101122220102000100
4200031203210130
52101322040401
6125343101100
716251350364
oct4015434434
91348812010
10540424476
112580679a9
12130ba1790
1387c69bc7
1451ab99a4
15326a0b86
hex2036391c

540424476 has 36 divisors (see below), whose sum is σ = 1366917552. Its totient is φ = 180030144.

The previous prime is 540424459. The next prime is 540424477. The reversal of 540424476 is 674424045.

540424476 is a `hidden beast` number, since 5 + 404 + 244 + 7 + 6 = 666.

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

It is a super-2 number, since 2×5404244762 = 584117228519749152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 540424476.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540424477) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71536 + ... + 78728.

It is an arithmetic number, because the mean of its divisors is an integer number (37969932).

Almost surely, 2540424476 is an apocalyptic number.

It is an amenable number.

540424476 is an abundant number, since it is smaller than the sum of its proper divisors (826493076).

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

540424476 is a wasteful number, since it uses less digits than its factorization.

540424476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9290 (or 9285 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 540424476 is about 23247.0315524370. The cubic root of 540424476 is about 814.5386004156.

The spelling of 540424476 in words is "five hundred forty million, four hundred twenty-four thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 2087 4174 6261 7193 8348 12522 14386 18783 21579 25044 28772 37566 43158 64737 75132 86316 129474 258948 15011791 30023582 45035373 60047164 90070746 135106119 180141492 270212238 540424476