Search a number
-
+
54826240 = 285729211
BaseRepresentation
bin1101000100100…
…1010100000000
310211011110110111
43101021110000
5103013414430
65235041104
71234005160
oct321112400
9124143414
1054826240
1128a47847
1216440194
13b488081
1473d25a0
154c2ec2a
hex3449500

54826240 has 144 divisors (see below), whose sum is σ = 155998080. Its totient is φ = 18063360.

The previous prime is 54826223. The next prime is 54826253. The reversal of 54826240 is 4262845.

It is a congruent number.

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, 259735 + ... + 259945.

It is an arithmetic number, because the mean of its divisors is an integer number (1083320).

Almost surely, 254826240 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 54826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77999040).

54826240 is an abundant number, since it is smaller than the sum of its proper divisors (101171840).

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

54826240 is a wasteful number, since it uses less digits than its factorization.

54826240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 54826240 is about 7404.4743230023. The cubic root of 54826240 is about 379.8943381203.

The spelling of 54826240 in words is "fifty-four million, eight hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 64 70 80 112 116 128 140 145 160 203 211 224 232 256 280 290 320 406 422 448 464 560 580 640 812 844 896 928 1015 1055 1120 1160 1280 1477 1624 1688 1792 1856 2030 2110 2240 2320 2954 3248 3376 3712 4060 4220 4480 4640 5908 6119 6496 6752 7385 7424 8120 8440 8960 9280 11816 12238 12992 13504 14770 16240 16880 18560 23632 24476 25984 27008 29540 30595 32480 33760 37120 42833 47264 48952 51968 54016 59080 61190 64960 67520 85666 94528 97904 118160 122380 129920 135040 171332 189056 195808 214165 236320 244760 259840 270080 342664 378112 391616 428330 472640 489520 685328 783232 856660 945280 979040 1370656 1566464 1713320 1890560 1958080 2741312 3426640 3916160 5482624 6853280 7832320 10965248 13706560 27413120 54826240