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54406044 = 2232711191033
BaseRepresentation
bin1100111110001…
…0101110011100
310210101010001200
43033202232130
5102411443134
65222035500
71230305130
oct317425634
9123333050
1054406044
1128790080
1216278b90
13b36ba34
1473233c0
154b9a499
hex33e2b9c

54406044 has 144 divisors (see below), whose sum is σ = 180660480. Its totient is φ = 13374720.

The previous prime is 54406043. The next prime is 54406067. The reversal of 54406044 is 44060445.

54406044 is a `hidden beast` number, since 54 + 4 + 0 + 604 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 54405999 and 54406017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54406043) 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, 52152 + ... + 53184.

Almost surely, 254406044 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 54406044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90330240).

54406044 is an abundant number, since it is smaller than the sum of its proper divisors (126254436).

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

54406044 is a wasteful number, since it uses less digits than its factorization.

54406044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 54406044 is about 7376.0452818567. The cubic root of 54406044 is about 378.9213269263.

Adding to 54406044 its reverse (44060445), we get a palindrome (98466489).

The spelling of 54406044 in words is "fifty-four million, four hundred six thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 19 21 22 28 33 36 38 42 44 57 63 66 76 77 84 99 114 126 132 133 154 171 198 209 228 231 252 266 308 342 396 399 418 462 532 627 684 693 798 836 924 1033 1197 1254 1386 1463 1596 1881 2066 2394 2508 2772 2926 3099 3762 4132 4389 4788 5852 6198 7231 7524 8778 9297 11363 12396 13167 14462 17556 18594 19627 21693 22726 26334 28924 34089 37188 39254 43386 45452 52668 58881 65079 68178 78508 79541 86772 102267 117762 130158 136356 137389 159082 176643 204534 215897 235524 238623 260316 274778 318164 353286 409068 412167 431794 477246 549556 647691 706572 715869 824334 863588 954492 1236501 1295382 1431738 1511279 1648668 1943073 2473002 2590764 2863476 3022558 3886146 4533837 4946004 6045116 7772292 9067674 13601511 18135348 27203022 54406044