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54535842 = 2342271483
BaseRepresentation
bin1101000000001…
…0011010100010
310210121201010000
43100002122202
5102430121332
65224520430
71231355424
oct320023242
9123551100
1054535842
1128869649
1216320116
13b3b5b3a
147358814
154bc3b7c
hex34026a2

54535842 has 40 divisors (see below), whose sum is σ = 122821776. Its totient is φ = 18086328.

The previous prime is 54535841. The next prime is 54535853. The reversal of 54535842 is 24853545.

54535842 is a `hidden beast` number, since 545 + 35 + 84 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 54535797 and 54535806.

It is not an unprimeable number, because it can be changed into a prime (54535841) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36033 + ... + 37515.

Almost surely, 254535842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54535842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61410888).

54535842 is an abundant number, since it is smaller than the sum of its proper divisors (68285934).

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

54535842 is a wasteful number, since it uses less digits than its factorization.

54535842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1715 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 54535842 is about 7384.8386576824. The cubic root of 54535842 is about 379.2224219637. Note that the first 3 decimals are identical.

The spelling of 54535842 in words is "fifty-four million, five hundred thirty-five thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 227 454 681 1362 1483 2043 2966 4086 4449 6129 8898 12258 13347 18387 26694 36774 40041 80082 120123 240246 336641 673282 1009923 2019846 3029769 6059538 9089307 18178614 27267921 54535842