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54277668 = 22331723747
BaseRepresentation
bin1100111100001…
…1011000100100
310210010120222000
43033003120210
5102343341133
65215205300
71226231634
oct317033044
9123116860
1054277668
1128702685
1216216830
13b325483
1472cc6c4
154b72413
hex33c3624

54277668 has 144 divisors (see below), whose sum is σ = 156791040. Its totient is φ = 16215552.

The previous prime is 54277649. The next prime is 54277669. The reversal of 54277668 is 86677245.

It is not an unprimeable number, because it can be changed into a prime (54277669) 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, 1154821 + ... + 1154867.

Almost surely, 254277668 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 54277668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78395520).

54277668 is an abundant number, since it is smaller than the sum of its proper divisors (102513372).

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

54277668 is a wasteful number, since it uses less digits than its factorization.

54277668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 106 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 54277668 is about 7367.3379181357. The cubic root of 54277668 is about 378.6230591163.

It can be divided in two parts, 54277 and 668, that added together give a palindrome (54945).

The spelling of 54277668 in words is "fifty-four million, two hundred seventy-seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 37 47 51 54 68 74 94 102 108 111 141 148 153 188 204 222 282 289 306 333 423 444 459 564 578 612 629 666 799 846 867 918 999 1156 1258 1269 1332 1598 1692 1734 1739 1836 1887 1998 2397 2516 2538 2601 3196 3468 3478 3774 3996 4794 5076 5202 5217 5661 6956 7191 7548 7803 9588 10404 10434 10693 11322 13583 14382 15606 15651 16983 20868 21386 21573 22644 27166 28764 29563 31212 31302 32079 33966 40749 42772 43146 46953 54332 59126 62604 64158 67932 81498 86292 88689 93906 96237 118252 122247 128316 162996 177378 187812 192474 244494 266067 288711 354756 366741 384948 488988 502571 532134 577422 733482 798201 1005142 1064268 1154844 1466964 1507713 1596402 2010284 3015426 3192804 4523139 6030852 9046278 13569417 18092556 27138834 54277668