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54301072 = 2471313701
BaseRepresentation
bin1100111100100…
…1000110010000
310210011210001211
43033021012100
5102400113242
65215505504
71226360110
oct317110620
9123153054
1054301072
1128719221
1216228294
13b333017
1472d7040
154b79317
hex33c9190

54301072 has 40 divisors (see below), whose sum is σ = 121188672. Its totient is φ = 23088000.

The previous prime is 54301019. The next prime is 54301073. The reversal of 54301072 is 27010345.

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 (54301073) by changing a digit.

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, 12822 + ... + 16522.

Almost surely, 254301072 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 54301072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60594336).

54301072 is an abundant number, since it is smaller than the sum of its proper divisors (66887600).

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

54301072 is a wasteful number, since it uses less digits than its factorization.

54301072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3847 (or 3841 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 54301072 is about 7368.9261090067. The cubic root of 54301072 is about 378.6774708174.

The spelling of 54301072 in words is "fifty-four million, three hundred one thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 131 262 524 917 1048 1834 2096 3668 3701 7336 7402 14672 14804 25907 29608 51814 59216 103628 207256 414512 484831 969662 1939324 3393817 3878648 6787634 7757296 13575268 27150536 54301072