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54484608 = 2732331199
BaseRepresentation
bin1100111111010…
…1111010000000
310210112002211110
43033311322000
5102422001413
65223443320
71231053153
oct317657200
9123462743
1054484608
1128834102
12162b6540
13b398719
147343c9a
154bb38c3
hex33f5e80

54484608 has 128 divisors (see below), whose sum is σ = 156672000. Its totient is φ = 16727040.

The previous prime is 54484607. The next prime is 54484627. The reversal of 54484608 is 80648445.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (54484607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273693 + ... + 273891.

It is an arithmetic number, because the mean of its divisors is an integer number (1224000).

Almost surely, 254484608 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 54484608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78336000).

54484608 is an abundant number, since it is smaller than the sum of its proper divisors (102187392).

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

54484608 is a wasteful number, since it uses less digits than its factorization.

54484608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 54484608 is about 7381.3689787193. The cubic root of 54484608 is about 379.1036305519.

The spelling of 54484608 in words is "fifty-four million, four hundred eighty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 46 48 62 64 69 92 93 96 124 128 138 184 186 192 199 248 276 368 372 384 398 496 552 597 713 736 744 796 992 1104 1194 1426 1472 1488 1592 1984 2139 2208 2388 2852 2944 2976 3184 3968 4278 4416 4577 4776 5704 5952 6169 6368 8556 8832 9154 9552 11408 11904 12338 12736 13731 17112 18308 18507 19104 22816 24676 25472 27462 34224 36616 37014 38208 45632 49352 54924 68448 73232 74028 76416 91264 98704 109848 136896 141887 146464 148056 197408 219696 273792 283774 292928 296112 394816 425661 439392 567548 585856 592224 789632 851322 878784 1135096 1184448 1702644 1757568 2270192 2368896 3405288 4540384 6810576 9080768 13621152 18161536 27242304 54484608