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54148920 = 2335729209
BaseRepresentation
bin1100111010001…
…1111100111000
310202220001100120
43032203330320
5102330231140
65212333240
71225154400
oct316437470
9122801316
1054148920
1128624981
1216174220
13b2ab9a7
147297800
154b491d0
hex33a3f38

54148920 has 96 divisors (see below), whose sum is σ = 188989200. Its totient is φ = 12375552.

The previous prime is 54148889. The next prime is 54148949. The reversal of 54148920 is 2984145.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1276 + ... + 10484.

Almost surely, 254148920 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 54148920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94494600).

54148920 is an abundant number, since it is smaller than the sum of its proper divisors (134840280).

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

54148920 is a wasteful number, since it uses less digits than its factorization.

54148920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9237 (or 9226 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 54148920 is about 7358.5949745858. The cubic root of 54148920 is about 378.3234542800.

The spelling of 54148920 in words is "fifty-four million, one hundred forty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 9209 18418 27627 36836 46045 55254 64463 73672 92090 110508 128926 138135 184180 193389 221016 257852 276270 322315 368360 386778 451241 515704 552540 644630 773556 902482 966945 1105080 1289260 1353723 1547112 1804964 1933890 2256205 2578520 2707446 3609928 3867780 4512410 5414892 6768615 7735560 9024820 10829784 13537230 18049640 27074460 54148920