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54909648 = 24322359281
BaseRepresentation
bin1101000101110…
…1101011010000
310211022200212200
43101131223100
5103024102043
65240523200
71234503303
oct321355320
9124280780
1054909648
1128aa4482
1216480500
13b4b7021
147414b3a
154c497d3
hex345dad0

54909648 has 120 divisors (see below), whose sum is σ = 163650240. Its totient is φ = 17149440.

The previous prime is 54909611. The next prime is 54909653. The reversal of 54909648 is 84690945.

It is a happy number.

54909648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195268 + ... + 195548.

It is an arithmetic number, because the mean of its divisors is an integer number (1363752).

Almost surely, 254909648 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 54909648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81825120).

54909648 is an abundant number, since it is smaller than the sum of its proper divisors (108740592).

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

54909648 is a wasteful number, since it uses less digits than its factorization.

54909648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 54909648 is about 7410.1044527051. The cubic root of 54909648 is about 380.0868868724.

The spelling of 54909648 in words is "fifty-four million, nine hundred nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 59 69 72 92 118 138 144 177 184 207 236 276 281 354 368 414 472 531 552 562 708 828 843 944 1062 1104 1124 1357 1416 1656 1686 2124 2248 2529 2714 2832 3312 3372 4071 4248 4496 5058 5428 6463 6744 8142 8496 10116 10856 12213 12926 13488 16284 16579 19389 20232 21712 24426 25852 32568 33158 38778 40464 48852 49737 51704 58167 65136 66316 77556 97704 99474 103408 116334 132632 149211 155112 195408 198948 232668 265264 298422 310224 381317 397896 465336 596844 762634 795792 930672 1143951 1193688 1525268 2287902 2387376 3050536 3431853 4575804 6101072 6863706 9151608 13727412 18303216 27454824 54909648