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53139834 = 23311137653
BaseRepresentation
bin1100101010110…
…1100101111010
310200222210011000
43022231211322
5102100433314
65134545430
71213452426
oct312554572
9120883130
1053139834
1127aa5820
1215968276
13b0175b7
1470b3b86
1549ea209
hex32ad97a

53139834 has 64 divisors (see below), whose sum is σ = 129962880. Its totient is φ = 15960960.

The previous prime is 53139833. The next prime is 53139851. The reversal of 53139834 is 43893135.

53139834 is a `hidden beast` number, since 531 + 3 + 98 + 34 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (53139833) 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, 81052 + ... + 81704.

It is an arithmetic number, because the mean of its divisors is an integer number (2030670).

Almost surely, 253139834 is an apocalyptic number.

53139834 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 53139834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64981440).

53139834 is an abundant number, since it is smaller than the sum of its proper divisors (76823046).

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

53139834 is a wasteful number, since it uses less digits than its factorization.

53139834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 806 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 53139834 is about 7289.7074015354. The cubic root of 53139834 is about 375.9586352941.

The spelling of 53139834 in words is "fifty-three million, one hundred thirty-nine thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 137 198 274 297 411 594 653 822 1233 1306 1507 1959 2466 3014 3699 3918 4521 5877 7183 7398 9042 11754 13563 14366 17631 21549 27126 35262 40689 43098 64647 81378 89461 129294 178922 193941 268383 387882 536766 805149 984071 1610298 1968142 2415447 2952213 4830894 5904426 8856639 17713278 26569917 53139834