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54246080 = 265761397
BaseRepresentation
bin1100111011101…
…1101011000000
310210001222122002
43032323223000
5102341333310
65214403132
71226040560
oct316735300
9123058562
1054246080
1128690979
12162004a8
13b313c95
1472c0da0
154b67da5
hex33bbac0

54246080 has 112 divisors (see below), whose sum is σ = 150424896. Its totient is φ = 18247680.

The previous prime is 54246047. The next prime is 54246089. The reversal of 54246080 is 8064245.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54246089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136442 + ... + 136838.

Almost surely, 254246080 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 54246080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75212448).

54246080 is an abundant number, since it is smaller than the sum of its proper divisors (96178816).

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

54246080 is a wasteful number, since it uses less digits than its factorization.

54246080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 54246080 is about 7365.1938195814. The cubic root of 54246080 is about 378.5495957166.

The spelling of 54246080 in words is "fifty-four million, two hundred forty-six thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 61 64 70 80 112 122 140 160 224 244 280 305 320 397 427 448 488 560 610 794 854 976 1120 1220 1588 1708 1952 1985 2135 2240 2440 2779 3176 3416 3904 3970 4270 4880 5558 6352 6832 7940 8540 9760 11116 12704 13664 13895 15880 17080 19520 22232 24217 25408 27328 27790 31760 34160 44464 48434 55580 63520 68320 88928 96868 111160 121085 127040 136640 169519 177856 193736 222320 242170 339038 387472 444640 484340 678076 774944 847595 889280 968680 1356152 1549888 1695190 1937360 2712304 3390380 3874720 5424608 6780760 7749440 10849216 13561520 27123040 54246080