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53988935 = 57211132367
BaseRepresentation
bin1100110111110…
…0111001000111
310202120220220012
43031330321013
5102310121220
65205100435
71223620100
oct315747107
9122526805
1053988935
1128525760
12160b771b
13b253c20
1472553a7
154b16ac5
hex337ce47

53988935 has 96 divisors (see below), whose sum is σ = 93768192. Its totient is φ = 29272320.

The previous prime is 53988919. The next prime is 53988941.

53988935 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 53988935 - 24 = 53988919 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 805772 + ... + 805838.

It is an arithmetic number, because the mean of its divisors is an integer number (976752).

Almost surely, 253988935 is an apocalyptic number.

53988935 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53988935 is a deficient number, since it is larger than the sum of its proper divisors (39779257).

53988935 is a wasteful number, since it uses less digits than its factorization.

53988935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 126 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 50.

The square root of 53988935 is about 7347.7163118890. The cubic root of 53988935 is about 377.9504964893.

The spelling of 53988935 in words is "fifty-three million, nine hundred eighty-eight thousand, nine hundred thirty-five".

Divisors: 1 5 7 11 13 23 35 49 55 65 67 77 91 115 143 161 245 253 299 335 385 455 469 539 637 715 737 805 871 1001 1127 1265 1495 1541 1771 2093 2345 2695 3185 3283 3289 3685 4355 5005 5159 5635 6097 7007 7705 8855 9581 10465 10787 12397 14651 16415 16445 16951 20033 23023 25795 30485 35035 36113 42679 47905 53935 61985 67067 73255 75509 84755 100165 115115 118657 140231 161161 180565 213395 220363 335335 377545 469469 593285 701155 805805 830599 981617 1101815 1542541 2347345 4152995 4908085 7712705 10797787 53988935