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54302816 = 252389829
BaseRepresentation
bin1100111100100…
…1100001100000
310210011212110102
43033021201200
5102400142231
65215521532
71226365151
oct317114140
9123155412
1054302816
112871a567
12162292a8
13b333a59
1472d7928
154b79acb
hex33c9860

54302816 has 48 divisors (see below), whose sum is σ = 112946400. Its totient is φ = 25648128.

The previous prime is 54302767. The next prime is 54302849. The reversal of 54302816 is 61820345.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65090 + ... + 65918.

It is an arithmetic number, because the mean of its divisors is an integer number (2353050).

Almost surely, 254302816 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 54302816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56473200).

54302816 is an abundant number, since it is smaller than the sum of its proper divisors (58643584).

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

54302816 is a wasteful number, since it uses less digits than its factorization.

54302816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 54302816 is about 7369.0444428026. The cubic root of 54302816 is about 378.6815247978.

The spelling of 54302816 in words is "fifty-four million, three hundred two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 23 32 46 89 92 178 184 356 368 712 736 829 1424 1658 2047 2848 3316 4094 6632 8188 13264 16376 19067 26528 32752 38134 65504 73781 76268 147562 152536 295124 305072 590248 610144 1180496 1696963 2360992 3393926 6787852 13575704 27151408 54302816