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540525304 = 231137414049
BaseRepresentation
bin100000001101111…
…100001011111000
31101200002112022201
4200031330023320
52101333302204
6125345155544
716252250344
oct4015741370
91350075281
10540525304
11258126730
1213102bbb4
1387ca3a77
1451b04624
15326c09a4
hex2037c2f8

540525304 has 64 divisors (see below), whose sum is σ = 1163484000. Its totient is φ = 233164800.

The previous prime is 540525301. The next prime is 540525311. The reversal of 540525304 is 403525045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540525301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131472 + ... + 135520.

Almost surely, 2540525304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540525304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581742000).

540525304 is an abundant number, since it is smaller than the sum of its proper divisors (622958696).

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

540525304 is a wasteful number, since it uses less digits than its factorization.

540525304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4144 (or 4140 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 28.

The square root of 540525304 is about 23249.2000722606. The cubic root of 540525304 is about 814.5892539263.

The spelling of 540525304 in words is "five hundred forty million, five hundred twenty-five thousand, three hundred four".

Divisors: 1 2 4 8 11 22 37 41 44 74 82 88 148 164 296 328 407 451 814 902 1517 1628 1804 3034 3256 3608 4049 6068 8098 12136 16196 16687 32392 33374 44539 66748 89078 133496 149813 166009 178156 299626 332018 356312 599252 664036 1198504 1328072 1647943 1826099 3295886 3652198 6142333 6591772 7304396 12284666 13183544 14608792 24569332 49138664 67565663 135131326 270262652 540525304