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54648608 = 25717113127
BaseRepresentation
bin1101000001110…
…1111100100000
310210211102210112
43100131330200
5102442223413
65231150452
71232335250
oct320357440
9123742715
1054648608
1128936343
1216375428
13b425271
147387960
154be72a8
hex341df20

54648608 has 96 divisors (see below), whose sum is σ = 132378624. Its totient is φ = 21676032.

The previous prime is 54648589. The next prime is 54648623. The reversal of 54648608 is 80684645.

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, 430241 + ... + 430367.

It is an arithmetic number, because the mean of its divisors is an integer number (1378944).

Almost surely, 254648608 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 54648608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66189312).

54648608 is an abundant number, since it is smaller than the sum of its proper divisors (77730016).

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

54648608 is a wasteful number, since it uses less digits than its factorization.

54648608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The square root of 54648608 is about 7392.4696820481. The cubic root of 54648608 is about 379.4836199413.

The spelling of 54648608 in words is "fifty-four million, six hundred forty-eight thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 113 119 127 136 224 226 238 254 272 452 476 508 544 791 889 904 952 1016 1582 1778 1808 1904 1921 2032 2159 3164 3556 3616 3808 3842 4064 4318 6328 7112 7684 8636 12656 13447 14224 14351 15113 15368 17272 25312 26894 28448 28702 30226 30736 34544 53788 57404 60452 61472 69088 100457 107576 114808 120904 200914 215152 229616 241808 243967 401828 430304 459232 483616 487934 803656 975868 1607312 1707769 1951736 3214624 3415538 3903472 6831076 7806944 13662152 27324304 54648608