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54782244 = 22341119809
BaseRepresentation
bin1101000011111…
…0100100100100
310211002020010000
43100332210210
5103011012434
65234101300
71233432666
oct320764444
9124066100
1054782244
1128a17790
121641a830
13b47103a
1473c0536
154c21b99
hex343e924

54782244 has 120 divisors (see below), whose sum is σ = 164656800. Its totient is φ = 15707520.

The previous prime is 54782243. The next prime is 54782249. The reversal of 54782244 is 44228745.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 54782199 and 54782208.

It is not an unprimeable number, because it can be changed into a prime (54782243) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 67312 + ... + 68120.

It is an arithmetic number, because the mean of its divisors is an integer number (1372140).

Almost surely, 254782244 is an apocalyptic number.

54782244 is a gapful number since it is divisible by the number (54) 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 54782244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82328400).

54782244 is an abundant number, since it is smaller than the sum of its proper divisors (109874556).

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

54782244 is a wasteful number, since it uses less digits than its factorization.

54782244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 844 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 54782244 is about 7401.5028203737. The cubic root of 54782244 is about 379.7926939439.

The spelling of 54782244 in words is "fifty-four million, seven hundred eighty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 81 99 108 114 132 162 171 198 209 228 297 324 342 396 418 513 594 627 684 809 836 891 1026 1188 1254 1539 1618 1782 1881 2052 2427 2508 3078 3236 3564 3762 4854 5643 6156 7281 7524 8899 9708 11286 14562 15371 16929 17798 21843 22572 26697 29124 30742 33858 35596 43686 46113 53394 61484 65529 67716 80091 87372 92226 106788 131058 138339 160182 169081 184452 240273 262116 276678 320364 338162 415017 480546 507243 553356 676324 720819 830034 961092 1014486 1245051 1441638 1521729 1660068 2028972 2490102 2883276 3043458 4565187 4980204 6086916 9130374 13695561 18260748 27391122 54782244