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53406342 = 232112971131
BaseRepresentation
bin1100101110111…
…0101010000110
310201111022201200
43023232222012
5102133000332
65144403330
71215642423
oct313565206
9121438650
1053406342
1128167a80
1215a76546
13b0ab9b2
147142d4a
154a4e17c
hex32eea86

53406342 has 96 divisors (see below), whose sum is σ = 133436160. Its totient is φ = 15288000.

The previous prime is 53406337. The next prime is 53406343. The reversal of 53406342 is 24360435.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53406343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 407617 + ... + 407747.

It is an arithmetic number, because the mean of its divisors is an integer number (1389960).

Almost surely, 253406342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53406342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66718080).

53406342 is an abundant number, since it is smaller than the sum of its proper divisors (80029818).

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

53406342 is a wasteful number, since it uses less digits than its factorization.

53406342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 247 counting only the distinct ones).

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

The square root of 53406342 is about 7307.9642856270. The cubic root of 53406342 is about 376.5860927018.

Adding to 53406342 its reverse (24360435), we get a palindrome (77766777).

The spelling of 53406342 in words is "fifty-three million, four hundred six thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 71 87 99 131 142 174 198 213 261 262 319 393 426 522 638 639 781 786 957 1179 1278 1441 1562 1914 2059 2343 2358 2871 2882 3799 4118 4323 4686 5742 6177 7029 7598 8646 9301 11397 12354 12969 14058 18531 18602 22649 22794 25938 27903 34191 37062 41789 45298 55806 67947 68382 83578 83709 102311 125367 135894 167418 203841 204622 250734 269729 306933 376101 407682 539458 613866 752202 809187 920799 1618374 1841598 2427561 2967019 4855122 5934038 8901057 17802114 26703171 53406342