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54385368 = 23343151349
BaseRepresentation
bin1100111101110…
…1101011011000
310210100001200220
43033131223120
5102410312433
65221400040
71230160632
oct317355330
9123301626
1054385368
1128776594
1216269020
13b3624bb
147319a52
154b942b3
hex33ddad8

54385368 has 64 divisors (see below), whose sum is σ = 140448000. Its totient is φ = 17539200.

The previous prime is 54385351. The next prime is 54385421. The reversal of 54385368 is 86358345.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155658 + ... + 156006.

It is an arithmetic number, because the mean of its divisors is an integer number (2194500).

Almost surely, 254385368 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 54385368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70224000).

54385368 is an abundant number, since it is smaller than the sum of its proper divisors (86062632).

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

54385368 is a wasteful number, since it uses less digits than its factorization.

54385368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 548 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 54385368 is about 7374.6435846080. The cubic root of 54385368 is about 378.8733201888.

The spelling of 54385368 in words is "fifty-four million, three hundred eighty-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 151 172 258 302 344 349 453 516 604 698 906 1032 1047 1208 1396 1812 2094 2792 3624 4188 6493 8376 12986 15007 19479 25972 30014 38958 45021 51944 52699 60028 77916 90042 105398 120056 155832 158097 180084 210796 316194 360168 421592 632388 1264776 2266057 4532114 6798171 9064228 13596342 18128456 27192684 54385368