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54255240 = 233251311593
BaseRepresentation
bin1100111011110…
…1111010001000
310210002110012100
43032331322020
5102342131430
65214513400
71226106354
oct316757210
9123073170
1054255240
1128697846
1216205860
13b3181c0
1472c4464
154b6a960
hex33bde88

54255240 has 96 divisors (see below), whose sum is σ = 189909720. Its totient is φ = 13353984.

The previous prime is 54255233. The next prime is 54255263. The reversal of 54255240 is 4255245.

It can be written as a sum of positive squares in 4 ways, for example, as 46867716 + 7387524 = 6846^2 + 2718^2 .

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, 1117 + ... + 10476.

Almost surely, 254255240 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 54255240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94954860).

54255240 is an abundant number, since it is smaller than the sum of its proper divisors (135654480).

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

54255240 is a wasteful number, since it uses less digits than its factorization.

54255240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11623 (or 11616 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 54255240 is about 7365.8156371172. The cubic root of 54255240 is about 378.5709018284.

The spelling of 54255240 in words is "fifty-four million, two hundred fifty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 11593 23186 34779 46372 57965 69558 92744 104337 115930 139116 150709 173895 208674 231860 278232 301418 347790 417348 452127 463720 521685 602836 695580 753545 834696 904254 1043370 1205672 1356381 1391160 1507090 1808508 2086740 2260635 2712762 3014180 3617016 4173480 4521270 5425524 6028360 6781905 9042540 10851048 13563810 18085080 27127620 54255240