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52135240 = 23519181379
BaseRepresentation
bin1100011011100…
…0010101001000
310122002202002211
43012320111020
5101321311430
65101234504
71202066533
oct306702510
9118082084
1052135240
1127479a83
1215562a34
13aa55271
146cd1a1a
15489c72a
hex31b8548

52135240 has 64 divisors (see below), whose sum is σ = 124488000. Its totient is φ = 19595520.

The previous prime is 52135219. The next prime is 52135247. The reversal of 52135240 is 4253125.

It is not an unprimeable number, because it can be changed into a prime (52135247) 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 15 ways as a sum of consecutive naturals, for example, 137371 + ... + 137749.

It is an arithmetic number, because the mean of its divisors is an integer number (1945125).

Almost surely, 252135240 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 52135240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62244000).

52135240 is an abundant number, since it is smaller than the sum of its proper divisors (72352760).

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

52135240 is a wasteful number, since it uses less digits than its factorization.

52135240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 52135240 is about 7220.4736686730. The cubic root of 52135240 is about 373.5744155730.

Adding to 52135240 its reverse (4253125), we get a palindrome (56388365).

The spelling of 52135240 in words is "fifty-two million, one hundred thirty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 181 190 362 379 380 724 758 760 905 1448 1516 1810 1895 3032 3439 3620 3790 6878 7201 7240 7580 13756 14402 15160 17195 27512 28804 34390 36005 57608 68599 68780 72010 137198 137560 144020 274396 288040 342995 548792 685990 1303381 1371980 2606762 2743960 5213524 6516905 10427048 13033810 26067620 52135240