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54129712 = 24721347113
BaseRepresentation
bin1100111001111…
…1010000110000
310202212002000011
43032133100300
5102324122322
65212104304
71225044400
oct316372060
9122762004
1054129712
11286114aa
1216165094
13b2a3020
147290800
154b43677
hex339f430

54129712 has 120 divisors (see below), whose sum is σ = 135366336. Its totient is φ = 20772864.

The previous prime is 54129709. The next prime is 54129731. The reversal of 54129712 is 21792145.

54129712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 478968 + ... + 479080.

Almost surely, 254129712 is an apocalyptic number.

54129712 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54129712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67683168).

54129712 is an abundant number, since it is smaller than the sum of its proper divisors (81236624).

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

54129712 is a wasteful number, since it uses less digits than its factorization.

54129712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 182 counting only the distinct ones).

The product of its digits is 5040, while the sum is 31.

The square root of 54129712 is about 7357.2897183678. The cubic root of 54129712 is about 378.2787153371.

The spelling of 54129712 in words is "fifty-four million, one hundred twenty-nine thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 47 49 52 56 91 94 98 104 112 113 182 188 196 208 226 329 364 376 392 452 611 637 658 728 752 784 791 904 1222 1274 1316 1456 1469 1582 1808 2303 2444 2548 2632 2938 3164 4277 4606 4888 5096 5264 5311 5537 5876 6328 8554 9212 9776 10192 10283 10622 11074 11752 12656 17108 18424 20566 21244 22148 23504 29939 34216 36848 37177 41132 42488 44296 59878 68432 69043 71981 74354 82264 84976 88592 119756 138086 143962 148708 164528 239512 260239 276172 287924 297416 479024 483301 520478 552344 575848 594832 966602 1040956 1104688 1151696 1933204 2081912 3383107 3866408 4163824 6766214 7732816 13532428 27064856 54129712