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542936064 = 21031116067
BaseRepresentation
bin100000010111001…
…000110000000000
31101211122000021010
4200113020300000
52102442423224
6125513000520
716311610656
oct4027106000
91354560233
10542936064
112595229a0
121319b3140
1388639158
1452170dd6
15329e9e29
hex205c8c00

542936064 has 88 divisors (see below), whose sum is σ = 1578777408. Its totient is φ = 164515840.

The previous prime is 542936047. The next prime is 542936099. The reversal of 542936064 is 460639245.

It is a tau number, because it is divible by the number of its divisors (88).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25759 + ... + 41825.

Almost surely, 2542936064 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 542936064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789388704).

542936064 is an abundant number, since it is smaller than the sum of its proper divisors (1035841344).

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

542936064 is a wasteful number, since it uses less digits than its factorization.

542936064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16101 (or 16083 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 542936064 is about 23300.9884768866. The cubic root of 542936064 is about 815.7984892646.

The spelling of 542936064 in words is "five hundred forty-two million, nine hundred thirty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2112 2816 3072 4224 5632 8448 11264 16067 16896 32134 33792 48201 64268 96402 128536 176737 192804 257072 353474 385608 514144 530211 706948 771216 1028288 1060422 1413896 1542432 2056576 2120844 2827792 3084864 4113152 4241688 5655584 6169728 8226304 8483376 11311168 12339456 16452608 16966752 22622336 24678912 33933504 45244672 49357824 67867008 90489344 135734016 180978688 271468032 542936064