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54337668 = 223721131271
BaseRepresentation
bin1100111101001…
…0000010000100
310210020122021020
43033102002010
5102402301133
65220351140
71226601600
oct317220204
9123218236
1054337668
1128743770
12162454b0
13b346888
147306500
154b850b3
hex33d2084

54337668 has 144 divisors (see below), whose sum is σ = 166699008. Its totient is φ = 13608000.

The previous prime is 54337651. The next prime is 54337691. The reversal of 54337668 is 86673345.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200373 + ... + 200643.

It is an arithmetic number, because the mean of its divisors is an integer number (1157632).

Almost surely, 254337668 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 54337668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83349504).

54337668 is an abundant number, since it is smaller than the sum of its proper divisors (112361340).

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

54337668 is a wasteful number, since it uses less digits than its factorization.

54337668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 325 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 54337668 is about 7371.4088205715. The cubic root of 54337668 is about 378.7625211253.

The spelling of 54337668 in words is "fifty-four million, three hundred thirty-seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 31 33 42 44 49 62 66 77 84 93 98 124 132 147 154 186 196 217 231 271 294 308 341 372 434 462 539 542 588 651 682 813 868 924 1023 1078 1084 1302 1364 1519 1617 1626 1897 2046 2156 2387 2604 2981 3038 3234 3252 3794 4092 4557 4774 5691 5962 6076 6468 7161 7588 8401 8943 9114 9548 11382 11924 13279 14322 16709 16802 17886 18228 20867 22764 25203 26558 28644 33418 33604 35772 39837 41734 50127 50406 53116 58807 62601 66836 79674 83468 92411 100254 100812 117614 125202 146069 159348 176421 184822 200508 235228 250404 277233 292138 352842 369644 411649 438207 554466 584276 646877 705684 823298 876414 1108932 1234947 1293754 1646596 1752828 1940631 2469894 2587508 3881262 4528139 4939788 7762524 9056278 13584417 18112556 27168834 54337668