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540814446 = 232291576599
BaseRepresentation
bin100000001111000…
…010110001101110
31101200122012221200
4200033002301232
52101422030241
6125355310330
716254563334
oct4017026156
91350565850
10540814446
11258303997
1213114b3a6
1388075563
1451b7bb54
153272b4b6
hex203c2c6e

540814446 has 48 divisors (see below), whose sum is σ = 1220076000. Its totient is φ = 172920384.

The previous prime is 540814427. The next prime is 540814451. The reversal of 540814446 is 644418045.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 540814446.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78655 + ... + 85253.

It is an arithmetic number, because the mean of its divisors is an integer number (25418250).

Almost surely, 2540814446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540814446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610038000).

540814446 is an abundant number, since it is smaller than the sum of its proper divisors (679261554).

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

540814446 is a wasteful number, since it uses less digits than its factorization.

540814446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6793 (or 6790 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 540814446 is about 23255.4175623660. The cubic root of 540814446 is about 814.7344768414.

The spelling of 540814446 in words is "five hundred forty million, eight hundred fourteen thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 18 29 58 87 157 174 261 314 471 522 942 1413 2826 4553 6599 9106 13198 13659 19797 27318 39594 40977 59391 81954 118782 191371 382742 574113 1036043 1148226 1722339 2072086 3108129 3444678 6216258 9324387 18648774 30045247 60090494 90135741 180271482 270407223 540814446