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54802080 = 25325192003
BaseRepresentation
bin1101000100001…
…1011010100000
310211010020022200
43101003122200
5103012131310
65234333200
71233544554
oct321033240
9124106280
1054802080
1128a30683
121642a200
13b47a088
1473c7864
154c279c0
hex34436a0

54802080 has 144 divisors (see below), whose sum is σ = 196953120. Its totient is φ = 13837824.

The previous prime is 54802073. The next prime is 54802087. The reversal of 54802080 is 8020845.

It is an interprime number because it is at equal distance from previous prime (54802073) and next prime (54802087).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (54802087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26359 + ... + 28361.

It is an arithmetic number, because the mean of its divisors is an integer number (1367730).

Almost surely, 254802080 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 54802080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98476560).

54802080 is an abundant number, since it is smaller than the sum of its proper divisors (142151040).

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

54802080 is a wasteful number, since it uses less digits than its factorization.

54802080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 54802080 is about 7402.8426972346. The cubic root of 54802080 is about 379.8385278871.

The spelling of 54802080 in words is "fifty-four million, eight hundred two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2003 2280 2736 3040 3420 4006 4560 5472 6009 6840 8012 9120 10015 12018 13680 16024 18027 20030 24036 27360 30045 32048 36054 38057 40060 48072 60090 64096 72108 76114 80120 90135 96144 114171 120180 144216 152228 160240 180270 190285 192288 228342 240360 288432 304456 320480 342513 360540 380570 456684 480720 570855 576864 608912 685026 721080 761140 913368 961440 1141710 1217824 1370052 1442160 1522280 1712565 1826736 2283420 2740104 2884320 3044560 3425130 3653472 4566840 5480208 6089120 6850260 9133680 10960416 13700520 18267360 27401040 54802080