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540450612 = 2232132939821
BaseRepresentation
bin100000001101101…
…001111100110100
31101122221201212100
4200031221330310
52101323404422
6125343422100
716251516522
oct4015517464
91348851770
10540450612
112580855a9
12130bb4930
1387c78a80
1451ac5312
15326a87ac
hex20369f34

540450612 has 72 divisors (see below), whose sum is σ = 1521996840. Its totient is φ = 160554240.

The previous prime is 540450571. The next prime is 540450623. The reversal of 540450612 is 216054045.

540450612 is a `hidden beast` number, since 5 + 4 + 0 + 45 + 0 + 612 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44675856 + 495774756 = 6684^2 + 22266^2 .

It is a super-2 number, since 2×5404506122 = 584173728022349088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6339 + ... + 33482.

It is an arithmetic number, because the mean of its divisors is an integer number (21138845).

Almost surely, 2540450612 is an apocalyptic number.

540450612 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

540450612 is an abundant number, since it is smaller than the sum of its proper divisors (981546228).

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

540450612 is a wasteful number, since it uses less digits than its factorization.

540450612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39873 (or 39868 counting only the distinct ones).

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

The square root of 540450612 is about 23247.5936819276. The cubic root of 540450612 is about 814.5517311049.

The spelling of 540450612 in words is "five hundred forty million, four hundred fifty thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 174 234 261 348 377 468 522 754 1044 1131 1508 2262 3393 4524 6786 13572 39821 79642 119463 159284 238926 358389 477852 517673 716778 1035346 1154809 1433556 1553019 2070692 2309618 3106038 3464427 4619236 4659057 6212076 6928854 9318114 10393281 13857708 15012517 18636228 20786562 30025034 41573124 45037551 60050068 90075102 135112653 180150204 270225306 540450612