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542505984 = 2103176597
BaseRepresentation
bin100000010101011…
…111110000000000
31101210211011022020
4200111133300000
52102340142414
6125455441440
716305140046
oct4025376000
91353734266
10542505984
11259259859
12131826280
1388518477
145209c396
15329627a9
hex2055fc00

542505984 has 44 divisors (see below), whose sum is σ = 1445984424. Its totient is φ = 180834304.

The previous prime is 542505979. The next prime is 542506033. The reversal of 542505984 is 489505245.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85227 + ... + 91370.

Almost surely, 2542505984 is an apocalyptic number.

It is an amenable number.

542505984 is an abundant number, since it is smaller than the sum of its proper divisors (903478440).

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

542505984 is a wasteful number, since it uses less digits than its factorization.

542505984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176620 (or 176602 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The square root of 542505984 is about 23291.7578555162. The cubic root of 542505984 is about 815.5830241782.

The spelling of 542505984 in words is "five hundred forty-two million, five hundred five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 176597 353194 529791 706388 1059582 1412776 2119164 2825552 4238328 5651104 8476656 11302208 16953312 22604416 33906624 45208832 67813248 90417664 135626496 180835328 271252992 542505984