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53643042 = 232191091439
BaseRepresentation
bin1100110010100…
…0011100100010
310201221100102100
43030220130202
5102213034132
65153431230
71220646465
oct314503442
9121840370
1053643042
11283098a2
1215b6b516
13b16265b
1471a52dc
154a9937c
hex3328722

53643042 has 48 divisors (see below), whose sum is σ = 123552000. Its totient is φ = 16772832.

The previous prime is 53643013. The next prime is 53643043. The reversal of 53643042 is 24034635.

It is a junction number, because it is equal to n+sod(n) for n = 53642997 and 53643015.

It is not an unprimeable number, because it can be changed into a prime (53643043) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 36559 + ... + 37997.

It is an arithmetic number, because the mean of its divisors is an integer number (2574000).

Almost surely, 253643042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53643042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61776000).

53643042 is an abundant number, since it is smaller than the sum of its proper divisors (69908958).

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

53643042 is a wasteful number, since it uses less digits than its factorization.

53643042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 53643042 is about 7324.1410417878. The cubic root of 53643042 is about 377.1416232496.

Adding to 53643042 its reverse (24034635), we get a palindrome (77677677).

The spelling of 53643042 in words is "fifty-three million, six hundred forty-three thousand, forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 109 114 171 218 327 342 654 981 1439 1962 2071 2878 4142 4317 6213 8634 12426 12951 18639 25902 27341 37278 54682 82023 156851 164046 246069 313702 470553 492138 941106 1411659 2823318 2980169 5960338 8940507 17881014 26821521 53643042