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54725440 = 2657112221
BaseRepresentation
bin1101000011000…
…0101101000000
310210222100012011
43100300231000
5103002203230
65232542304
71233105250
oct320605500
9123870164
1054725440
1128989040
12163b1994
13b451223
1473a7960
154c0ee2a
hex3430b40

54725440 has 112 divisors (see below), whose sum is σ = 162543744. Its totient is φ = 17049600.

The previous prime is 54725393. The next prime is 54725459. The reversal of 54725440 is 4452745.

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

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, 23530 + ... + 25750.

Almost surely, 254725440 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 54725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81271872).

54725440 is an abundant number, since it is smaller than the sum of its proper divisors (107818304).

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

54725440 is a wasteful number, since it uses less digits than its factorization.

54725440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 31.

The square root of 54725440 is about 7397.6644963123. The cubic root of 54725440 is about 379.6613788586.

The spelling of 54725440 in words is "fifty-four million, seven hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 704 770 880 1120 1232 1540 1760 2221 2240 2464 3080 3520 4442 4928 6160 8884 11105 12320 15547 17768 22210 24431 24640 31094 35536 44420 48862 62188 71072 77735 88840 97724 122155 124376 142144 155470 171017 177680 195448 244310 248752 310940 342034 355360 390896 488620 497504 621880 684068 710720 781792 855085 977240 995008 1243760 1368136 1563584 1710170 1954480 2487520 2736272 3420340 3908960 4975040 5472544 6840680 7817920 10945088 13681360 27362720 54725440