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54354048 = 273773277
BaseRepresentation
bin1100111101011…
…0000010000000
310210021110201220
43033112002000
5102403312143
65220555040
71230000420
oct317260200
9123243656
1054354048
1128755001
1216252a80
13b351178
14730c480
154b89d83
hex33d6080

54354048 has 128 divisors (see below), whose sum is σ = 167867520. Its totient is φ = 15261696.

The previous prime is 54354029. The next prime is 54354077. The reversal of 54354048 is 84045345.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196086 + ... + 196362.

It is an arithmetic number, because the mean of its divisors is an integer number (1311465).

Almost surely, 254354048 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 54354048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83933760).

54354048 is an abundant number, since it is smaller than the sum of its proper divisors (113513472).

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

54354048 is a wasteful number, since it uses less digits than its factorization.

54354048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 54354048 is about 7372.5197863417. The cubic root of 54354048 is about 378.8005764132.

The spelling of 54354048 in words is "fifty-four million, three hundred fifty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 73 84 96 112 128 146 168 192 219 224 277 292 336 384 438 448 511 554 584 672 831 876 896 1022 1108 1168 1344 1533 1662 1752 1939 2044 2216 2336 2688 3066 3324 3504 3878 4088 4432 4672 5817 6132 6648 7008 7756 8176 8864 9344 11634 12264 13296 14016 15512 16352 17728 20221 23268 24528 26592 28032 31024 32704 35456 40442 46536 49056 53184 60663 62048 65408 80884 93072 98112 106368 121326 124096 141547 161768 186144 196224 242652 248192 283094 323536 372288 424641 485304 566188 647072 744576 849282 970608 1132376 1294144 1698564 1941216 2264752 2588288 3397128 3882432 4529504 6794256 7764864 9059008 13588512 18118016 27177024 54354048