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54481664 = 281923487
BaseRepresentation
bin1100111111010…
…1001100000000
310210111221210102
43033311030000
5102421403124
65223421532
71231041446
oct317651400
9123457712
1054481664
1128831976
12162b48a8
13b397293
147342b96
154bb2aae
hex33f5300

54481664 has 72 divisors (see below), whose sum is σ = 119696640. Its totient is φ = 24634368.

The previous prime is 54481627. The next prime is 54481681. The reversal of 54481664 is 46618445.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111629 + ... + 112115.

Almost surely, 254481664 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 54481664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59848320).

54481664 is an abundant number, since it is smaller than the sum of its proper divisors (65214976).

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

54481664 is a wasteful number, since it uses less digits than its factorization.

54481664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 531 counting only the distinct ones).

The product of its digits is 92160, while the sum is 38.

The square root of 54481664 is about 7381.1695550231. The cubic root of 54481664 is about 379.0968023165.

The spelling of 54481664 in words is "fifty-four million, four hundred eighty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 128 152 184 256 304 368 437 487 608 736 874 974 1216 1472 1748 1948 2432 2944 3496 3896 4864 5888 6992 7792 9253 11201 13984 15584 18506 22402 27968 31168 37012 44804 55936 62336 74024 89608 111872 124672 148048 179216 212819 296096 358432 425638 592192 716864 851276 1184384 1433728 1702552 2368768 2867456 3405104 6810208 13620416 27240832 54481664