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54026080 = 2552353277
BaseRepresentation
bin1100111000010…
…1111101100000
310202122210211221
43032011331200
5102312313310
65205544424
71224133303
oct316057540
9122583757
1054026080
1128550659
1216115114
13b267ac4
147264b3a
154b22ada
hex3385f60

54026080 has 96 divisors (see below), whose sum is σ = 136188864. Its totient is φ = 20207616.

The previous prime is 54026047. The next prime is 54026113. The reversal of 54026080 is 8062045.

54026080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54026047) and next prime (54026113).

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 15 ways as a sum of consecutive naturals, for example, 194902 + ... + 195178.

It is an arithmetic number, because the mean of its divisors is an integer number (1418634).

Almost surely, 254026080 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 54026080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68094432).

54026080 is an abundant number, since it is smaller than the sum of its proper divisors (82162784).

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

54026080 is a wasteful number, since it uses less digits than its factorization.

54026080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 54026080 is about 7350.2435333804. The cubic root of 54026080 is about 378.0371546954.

The spelling of 54026080 in words is "fifty-four million, twenty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 53 80 92 106 115 160 184 212 230 265 277 368 424 460 530 554 736 848 920 1060 1108 1219 1385 1696 1840 2120 2216 2438 2770 3680 4240 4432 4876 5540 6095 6371 8480 8864 9752 11080 12190 12742 14681 19504 22160 24380 25484 29362 31855 39008 44320 48760 50968 58724 63710 73405 97520 101936 117448 127420 146810 195040 203872 234896 254840 293620 337663 469792 509680 587240 675326 1019360 1174480 1350652 1688315 2348960 2701304 3376630 5402608 6753260 10805216 13506520 27013040 54026080