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55284240 = 24351143487
BaseRepresentation
bin1101001011100…
…1001000010000
310212000201201110
43102321020100
5103123043430
65252533320
71240623354
oct322711020
9125021643
1055284240
112922a960
1216621240
13b5b868b
1474b1464
154cc07b0
hex34b9210

55284240 has 160 divisors (see below), whose sum is σ = 191702016. Its totient is φ = 13063680.

The previous prime is 55284217. The next prime is 55284241. The reversal of 55284240 is 4248255.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 55284198 and 55284207.

It is not an unprimeable number, because it can be changed into a prime (55284241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113277 + ... + 113763.

Almost surely, 255284240 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 55284240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95851008).

55284240 is an abundant number, since it is smaller than the sum of its proper divisors (136417776).

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

55284240 is a wasteful number, since it uses less digits than its factorization.

55284240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 55284240 is about 7435.3372485718. The cubic root of 55284240 is about 380.9492426924.

The spelling of 55284240 in words is "fifty-five million, two hundred eighty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 43 44 48 55 60 66 80 86 88 110 120 129 132 165 172 176 215 220 240 258 264 330 344 430 440 473 487 516 528 645 660 688 860 880 946 974 1032 1290 1320 1419 1461 1720 1892 1948 2064 2365 2435 2580 2640 2838 2922 3440 3784 3896 4730 4870 5160 5357 5676 5844 7095 7305 7568 7792 9460 9740 10320 10714 11352 11688 14190 14610 16071 18920 19480 20941 21428 22704 23376 26785 28380 29220 32142 37840 38960 41882 42856 53570 56760 58440 62823 64284 80355 83764 85712 104705 107140 113520 116880 125646 128568 160710 167528 209410 214280 230351 251292 257136 314115 321420 335056 418820 428560 460702 502584 628230 642840 691053 837640 921404 1005168 1151755 1256460 1285680 1382106 1675280 1842808 2303510 2512920 2764212 3455265 3685616 4607020 5025840 5528424 6910530 9214040 11056848 13821060 18428080 27642120 55284240