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54675648 = 263453199
BaseRepresentation
bin1101000010010…
…0100011000000
310210212210220000
43100210203000
5102444110043
65231520000
71232510136
oct320444300
9123783800
1054675648
1128954695
1216389000
13b434671
147393756
154c002d3
hex34248c0

54675648 has 140 divisors (see below), whose sum is σ = 165963600. Its totient is φ = 17791488.

The previous prime is 54675641. The next prime is 54675653. The reversal of 54675648 is 84657645.

It is not an unprimeable number, because it can be changed into a prime (54675641) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 274653 + ... + 274851.

Almost surely, 254675648 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 54675648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82981800).

54675648 is an abundant number, since it is smaller than the sum of its proper divisors (111287952).

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

54675648 is a wasteful number, since it uses less digits than its factorization.

54675648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 257 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 54675648 is about 7394.2983439945. The cubic root of 54675648 is about 379.5461988157.

The spelling of 54675648 in words is "fifty-four million, six hundred seventy-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 81 96 106 108 144 159 162 192 199 212 216 288 318 324 398 424 432 477 576 597 636 648 796 848 864 954 1194 1272 1296 1431 1592 1696 1728 1791 1908 2388 2544 2592 2862 3184 3392 3582 3816 4293 4776 5088 5184 5373 5724 6368 7164 7632 8586 9552 10176 10547 10746 11448 12736 14328 15264 16119 17172 19104 21094 21492 22896 28656 30528 31641 32238 34344 38208 42188 42984 45792 57312 63282 64476 68688 84376 85968 91584 94923 114624 126564 128952 137376 168752 171936 189846 253128 257904 274752 284769 337504 343872 379692 506256 515808 569538 675008 759384 854307 1012512 1031616 1139076 1518768 1708614 2025024 2278152 3037536 3417228 4556304 6075072 6834456 9112608 13668912 18225216 27337824 54675648