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54416988 = 223319231153
BaseRepresentation
bin1100111110010…
…1011001011100
310210101200002000
43033211121130
5102412320423
65222202300
71230352053
oct317453134
9123350060
1054416988
112879831a
1216283390
13b373a02
14732739a
154b9d843
hex33e565c

54416988 has 96 divisors (see below), whose sum is σ = 155097600. Its totient is φ = 16422912.

The previous prime is 54416987. The next prime is 54417001. The reversal of 54416988 is 88961445.

54416988 is a `hidden beast` number, since 544 + 16 + 98 + 8 = 666.

It is a super-2 number, since 2×544169882 = 5922417165984288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54416987) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46620 + ... + 47772.

It is an arithmetic number, because the mean of its divisors is an integer number (1615600).

Almost surely, 254416988 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 54416988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77548800).

54416988 is an abundant number, since it is smaller than the sum of its proper divisors (100680612).

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

54416988 is a wasteful number, since it uses less digits than its factorization.

54416988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1200 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 54416988 is about 7376.7871055087. The cubic root of 54416988 is about 378.9467324185.

The spelling of 54416988 in words is "fifty-four million, four hundred sixteen thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 23 27 36 38 46 54 57 69 76 92 108 114 138 171 207 228 276 342 414 437 513 621 684 828 874 1026 1153 1242 1311 1748 2052 2306 2484 2622 3459 3933 4612 5244 6918 7866 10377 11799 13836 15732 20754 21907 23598 26519 31131 41508 43814 47196 53038 62262 65721 79557 87628 106076 124524 131442 159114 197163 238671 262884 318228 394326 477342 503861 591489 716013 788652 954684 1007722 1182978 1432026 1511583 2015444 2365956 2864052 3023166 4534749 6046332 9069498 13604247 18138996 27208494 54416988