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540461556 = 223255726953
BaseRepresentation
bin100000001101101…
…100100111110100
31101122222021212200
4200031230213310
52101324232211
6125343544500
716251563445
oct4015544764
91348867780
10540461556
11258092848
12130bbb130
1387c80a4b
1451ac92cc
15326abb56
hex2036c9f4

540461556 has 36 divisors (see below), whose sum is σ = 1368670212. Its totient is φ = 179823744.

The previous prime is 540461477. The next prime is 540461557. The reversal of 540461556 is 655164045.

540461556 is a `hidden beast` number, since 5 + 40 + 4 + 61 + 556 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 192265956 + 348195600 = 13866^2 + 18660^2 .

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

It is a super-2 number, since 2×5404615562 = 584197387027882272, 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 540461556.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540461557) 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, 6576 + ... + 33528.

It is an arithmetic number, because the mean of its divisors is an integer number (38018617).

Almost surely, 2540461556 is an apocalyptic number.

It is an amenable number.

540461556 is an abundant number, since it is smaller than the sum of its proper divisors (828208656).

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

540461556 is a wasteful number, since it uses less digits than its factorization.

540461556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27520 (or 27515 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 540461556 is about 23247.8290599359. The cubic root of 540461556 is about 814.5572292293.

The spelling of 540461556 in words is "five hundred forty million, four hundred sixty-one thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 557 1114 1671 2228 3342 5013 6684 10026 20052 26953 53906 80859 107812 161718 242577 323436 485154 970308 15012821 30025642 45038463 60051284 90076926 135115389 180153852 270230778 540461556