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52138242 = 23413191303
BaseRepresentation
bin1100011011100…
…1000100000010
310122002220020000
43012321010002
5101321410432
65101300430
71202111352
oct306710402
9118086200
1052138242
1127481262
1215564716
13aa56740
146cd2b62
15489d57c
hex31b9102

52138242 has 80 divisors (see below), whose sum is σ = 132538560. Its totient is φ = 15186528.

The previous prime is 52138237. The next prime is 52138243. The reversal of 52138242 is 24283125.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (52138243) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39363 + ... + 40665.

It is an arithmetic number, because the mean of its divisors is an integer number (1656732).

Almost surely, 252138242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52138242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66269280).

52138242 is an abundant number, since it is smaller than the sum of its proper divisors (80400318).

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

52138242 is a wasteful number, since it uses less digits than its factorization.

52138242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1340 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 52138242 is about 7220.6815467794. The cubic root of 52138242 is about 373.5815857000.

The spelling of 52138242 in words is "fifty-two million, one hundred thirty-eight thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 81 114 117 162 171 234 247 342 351 494 513 702 741 1026 1053 1303 1482 1539 2106 2223 2606 3078 3909 4446 6669 7818 11727 13338 16939 20007 23454 24757 33878 35181 40014 49514 50817 70362 74271 101634 105543 148542 152451 211086 222813 304902 321841 445626 457353 643682 668439 914706 965523 1336878 1372059 1931046 2005317 2744118 2896569 4010634 5793138 8689707 17379414 26069121 52138242