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54720288 = 2532727143
BaseRepresentation
bin1101000010111…
…1011100100000
310210222002010100
43100233130200
5103002022123
65232502400
71233054240
oct320573440
9123862110
1054720288
1128985187
12163aaa00
13b44ba8c
1473a5b20
154c0d643
hex342f720

54720288 has 72 divisors (see below), whose sum is σ = 177847488. Its totient is φ = 15633792.

The previous prime is 54720287. The next prime is 54720293. The reversal of 54720288 is 88202745.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (54720287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11556 + ... + 15587.

It is an arithmetic number, because the mean of its divisors is an integer number (2470104).

Almost surely, 254720288 is an apocalyptic number.

It is an amenable number.

54720288 is an abundant number, since it is smaller than the sum of its proper divisors (123127200).

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

54720288 is a wasteful number, since it uses less digits than its factorization.

54720288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27166 (or 27155 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 54720288 is about 7397.3162701077. The cubic root of 54720288 is about 379.6494643705.

The spelling of 54720288 in words is "fifty-four million, seven hundred twenty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 27143 54286 81429 108572 162858 190001 217144 244287 325716 380002 434288 488574 570003 651432 760004 868576 977148 1140006 1302864 1520008 1710009 1954296 2280012 2605728 3040016 3420018 3908592 4560024 6080032 6840036 7817184 9120048 13680072 18240096 27360144 54720288