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53000142 = 23132331953
BaseRepresentation
bin1100101000101…
…1011111001110
310200201200112020
43022023133032
5102032001032
65131551010
71212331236
oct312133716
9120650466
1053000142
1127a0a878
12158bb466
13ac98b40
147078cc6
1549bdb2c
hex328b7ce

53000142 has 64 divisors (see below), whose sum is σ = 123088896. Its totient is φ = 15079680.

The previous prime is 53000141. The next prime is 53000153. The reversal of 53000142 is 24100035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53000141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55138 + ... + 56090.

It is an arithmetic number, because the mean of its divisors is an integer number (1923264).

Almost surely, 253000142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53000142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61544448).

53000142 is an abundant number, since it is smaller than the sum of its proper divisors (70088754).

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

53000142 is a wasteful number, since it uses less digits than its factorization.

53000142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 53000142 is about 7280.1196418740. The cubic root of 53000142 is about 375.6289108888.

Adding to 53000142 its reverse (24100035), we get a palindrome (77100177).

The spelling of 53000142 in words is "fifty-three million, one hundred forty-two", and thus it is an aban number.

Divisors: 1 2 3 6 13 23 26 31 39 46 62 69 78 93 138 186 299 403 598 713 806 897 953 1209 1426 1794 1906 2139 2418 2859 4278 5718 9269 12389 18538 21919 24778 27807 29543 37167 43838 55614 59086 65757 74334 88629 131514 177258 284947 384059 569894 679489 768118 854841 1152177 1358978 1709682 2038467 2304354 4076934 8833357 17666714 26500071 53000142