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54237414 = 23721131541
BaseRepresentation
bin1100111011100…
…1100011100110
310210001112202010
43032321203212
5102341044124
65214255050
71226003400
oct316714346
9123045663
1054237414
1128685410
12161b7486
13b31005a
1472bbb70
154b65529
hex33b98e6

54237414 has 96 divisors (see below), whose sum is σ = 142359552. Its totient is φ = 13608000.

The previous prime is 54237413. The next prime is 54237433. The reversal of 54237414 is 41473245.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54237413) 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, 99984 + ... + 100524.

It is an arithmetic number, because the mean of its divisors is an integer number (1482912).

Almost surely, 254237414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54237414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71179776).

54237414 is an abundant number, since it is smaller than the sum of its proper divisors (88122138).

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

54237414 is a wasteful number, since it uses less digits than its factorization.

54237414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 595 counting only the distinct ones).

The product of its digits is 13440, while the sum is 30.

The square root of 54237414 is about 7364.6054884155. The cubic root of 54237414 is about 378.5294364381.

The spelling of 54237414 in words is "fifty-four million, two hundred thirty-seven thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 49 62 66 77 93 98 147 154 186 217 231 294 341 434 462 539 541 651 682 1023 1078 1082 1302 1519 1617 1623 2046 2387 3038 3234 3246 3787 4557 4774 5951 7161 7574 9114 11361 11902 14322 16709 16771 17853 22722 26509 33418 33542 35706 41657 50127 50313 53018 79527 83314 100254 100626 117397 124971 159054 184481 234794 249942 291599 352191 368962 553443 583198 704382 821779 874797 1106886 1291367 1643558 1749594 2465337 2582734 3874101 4930674 7748202 9039569 18079138 27118707 54237414