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54913936 = 2471129253
BaseRepresentation
bin1101000101111…
…0101110010000
310211022220202111
43101132232100
5103024221221
65240555104
71234521640
oct321365620
9124286674
1054913936
1128aa7720
1216482a94
13b4b8c6c
147416520
154c4abe1
hex345eb90

54913936 has 120 divisors (see below), whose sum is σ = 139973184. Its totient is φ = 20267520.

The previous prime is 54913913. The next prime is 54913939. The reversal of 54913936 is 63931945.

54913936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (54913939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1036086 + ... + 1036138.

Almost surely, 254913936 is an apocalyptic number.

54913936 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54913936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69986592).

54913936 is an abundant number, since it is smaller than the sum of its proper divisors (85059248).

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

54913936 is a wasteful number, since it uses less digits than its factorization.

54913936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 102 counting only the distinct ones).

The product of its digits is 87480, while the sum is 40.

The square root of 54913936 is about 7410.3937817096. The cubic root of 54913936 is about 380.0967805201.

Subtracting 54913936 from its reverse (63931945), we obtain a square (9018009 = 30032).

The spelling of 54913936 in words is "fifty-four million, nine hundred thirteen thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 44 53 56 58 77 88 106 112 116 154 176 203 212 232 308 319 371 406 424 464 583 616 638 742 812 841 848 1166 1232 1276 1484 1537 1624 1682 2233 2332 2552 2968 3074 3248 3364 4081 4466 4664 5104 5887 5936 6148 6728 8162 8932 9251 9328 10759 11774 12296 13456 16324 16907 17864 18502 21518 23548 24592 32648 33814 35728 37004 43036 44573 47096 64757 65296 67628 74008 86072 89146 94192 118349 129514 135256 148016 172144 178292 236698 259028 270512 312011 356584 473396 490303 518056 624022 713168 946792 980606 1036112 1248044 1893584 1961212 2496088 3432121 3922424 4992176 6864242 7844848 13728484 27456968 54913936