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54905856 = 210361293
BaseRepresentation
bin1101000101110…
…0110000000000
310211022111200020
43101130300000
5103023441411
65240453440
71234456245
oct321346000
9124274606
1054905856
1128aa1645
121647a280
13b4b5395
1474135cc
154c48606
hex345cc00

54905856 has 88 divisors (see below), whose sum is σ = 149250864. Its totient is φ = 17940480.

The previous prime is 54905849. The next prime is 54905857. The reversal of 54905856 is 65850945.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (54905857) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187246 + ... + 187538.

Almost surely, 254905856 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 54905856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74625432).

54905856 is an abundant number, since it is smaller than the sum of its proper divisors (94345008).

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

54905856 is a wasteful number, since it uses less digits than its factorization.

54905856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The square root of 54905856 is about 7409.8485814489. The cubic root of 54905856 is about 380.0781372099.

The spelling of 54905856 in words is "fifty-four million, nine hundred five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 293 366 384 488 512 586 732 768 879 976 1024 1172 1464 1536 1758 1952 2344 2928 3072 3516 3904 4688 5856 7032 7808 9376 11712 14064 15616 17873 18752 23424 28128 31232 35746 37504 46848 53619 56256 62464 71492 75008 93696 107238 112512 142984 150016 187392 214476 225024 285968 300032 428952 450048 571936 857904 900096 1143872 1715808 2287744 3431616 4575488 6863232 9150976 13726464 18301952 27452928 54905856