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54986652 = 223272353179
BaseRepresentation
bin1101000111000…
…0011110011100
310211110121111200
43101300132130
5103034033102
65242315500
71235243640
oct321603634
9124417450
1054986652
1129047316
12164b8b90
13b5130a6
147434c20
154c6251c
hex347079c

54986652 has 144 divisors (see below), whose sum is σ = 169827840. Its totient is φ = 14661504.

The previous prime is 54986623. The next prime is 54986669. The reversal of 54986652 is 25668945.

54986652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 54986598 and 54986607.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 307099 + ... + 307277.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 254986652 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54986652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84913920).

54986652 is an abundant number, since it is smaller than the sum of its proper divisors (114841188).

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

54986652 is a wasteful number, since it uses less digits than its factorization.

54986652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 267 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 54986652 is about 7415.2985105119. The cubic root of 54986652 is about 380.2644788540.

The spelling of 54986652 in words is "fifty-four million, nine hundred eighty-six thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 53 63 69 84 92 106 126 138 159 161 179 207 212 252 276 318 322 358 371 414 477 483 537 636 644 716 742 828 954 966 1074 1113 1219 1253 1449 1484 1611 1908 1932 2148 2226 2438 2506 2898 3222 3339 3657 3759 4117 4452 4876 5012 5796 6444 6678 7314 7518 8234 8533 9487 10971 11277 12351 13356 14628 15036 16468 17066 18974 21942 22554 24702 25599 28461 28819 34132 37053 37948 43884 45108 49404 51198 56922 57638 66409 74106 76797 85383 86457 102396 113844 115276 132818 148212 153594 170766 172914 199227 218201 259371 265636 307188 341532 345828 398454 436402 518742 597681 654603 796908 872804 1037484 1195362 1309206 1527407 1963809 2390724 2618412 3054814 3927618 4582221 6109628 7855236 9164442 13746663 18328884 27493326 54986652