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542877696 = 2113229453
BaseRepresentation
bin100000010110111…
…010100000000000
31101211112001012100
4200112322200000
52102434041241
6125511430400
716311245544
oct4026724000
91354461170
10542877696
11259493059
12131985400
138861870a
1452157a24
15329d79b6
hex205ba800

542877696 has 72 divisors (see below), whose sum is σ = 1567983690. Its totient is φ = 180953088.

The previous prime is 542877691. The next prime is 542877697. The reversal of 542877696 is 696778245.

542877696 is a `hidden beast` number, since 542 + 8 + 7 + 7 + 6 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 466560000 + 76317696 = 21600^2 + 8736^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (542877691) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3706 + ... + 33158.

Almost surely, 2542877696 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 542877696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783991845).

542877696 is an abundant number, since it is smaller than the sum of its proper divisors (1025105994).

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

542877696 is a wasteful number, since it uses less digits than its factorization.

542877696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29481 (or 29458 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 542877696 is about 23299.7359641692. The cubic root of 542877696 is about 815.7692542491.

The spelling of 542877696 in words is "five hundred forty-two million, eight hundred seventy-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 18432 29453 58906 88359 117812 176718 235624 265077 353436 471248 530154 706872 942496 1060308 1413744 1884992 2120616 2827488 3769984 4241232 5654976 7539968 8482464 11309952 15079936 16964928 22619904 30159872 33929856 45239808 60319744 67859712 90479616 135719424 180959232 271438848 542877696