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542951864 = 237133492137
BaseRepresentation
bin100000010111001…
…100100110111000
31101211122210221022
4200113030212320
52102443424424
6125513202012
716312005020
oct4027144670
91354583838
10542951864
11259533854
12131a00308
13886433c0
1452176a80
15329ee95e
hex205cc9b8

542951864 has 64 divisors (see below), whose sum is σ = 1257144000. Its totient is φ = 214078464.

The previous prime is 542951863. The next prime is 542951867. The reversal of 542951864 is 468159245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542951863) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 253004 + ... + 255140.

It is an arithmetic number, because the mean of its divisors is an integer number (19642875).

Almost surely, 2542951864 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 542951864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628572000).

542951864 is an abundant number, since it is smaller than the sum of its proper divisors (714192136).

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

542951864 is a wasteful number, since it uses less digits than its factorization.

542951864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512 (or 2508 counting only the distinct ones).

The product of its digits is 345600, while the sum is 44.

The square root of 542951864 is about 23301.3275158305. The cubic root of 542951864 is about 815.8064027139.

The spelling of 542951864 in words is "five hundred forty-two million, nine hundred fifty-one thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 349 364 698 728 1396 2137 2443 2792 4274 4537 4886 8548 9074 9772 14959 17096 18148 19544 27781 29918 31759 36296 55562 59836 63518 111124 119672 127036 194467 222248 254072 388934 745813 777868 1491626 1555736 2983252 5220691 5966504 9695569 10441382 19391138 20882764 38782276 41765528 67868983 77564552 135737966 271475932 542951864