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55280232 = 2334721741
BaseRepresentation
bin1101001011100…
…0001001101000
310212000112020000
43102320021220
5103122431412
65252503000
71240605600
oct322701150
9125015200
1055280232
1129227947
121661aa60
13b5b68c7
1474adc00
154cbe4dc
hex34b8268

55280232 has 120 divisors (see below), whose sum is σ = 180218610. Its totient is φ = 15785280.

The previous prime is 55280221. The next prime is 55280261. The reversal of 55280232 is 23208255.

55280232 is a `hidden beast` number, since 552 + 80 + 2 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 55264356 + 15876 = 7434^2 + 126^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 55280196 and 55280205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 30882 + ... + 32622.

Almost surely, 255280232 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 55280232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90109305).

55280232 is an abundant number, since it is smaller than the sum of its proper divisors (124938378).

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

55280232 is a wasteful number, since it uses less digits than its factorization.

55280232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 55280232 is about 7435.0677199337. The cubic root of 55280232 is about 380.9400364432.

Adding to 55280232 its reverse (23208255), we get a palindrome (78488487).

The spelling of 55280232 in words is "fifty-five million, two hundred eighty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 252 294 324 378 392 441 504 567 588 648 756 882 1134 1176 1323 1512 1741 1764 2268 2646 3482 3528 3969 4536 5223 5292 6964 7938 10446 10584 12187 13928 15669 15876 20892 24374 31338 31752 36561 41784 47007 48748 62676 73122 85309 94014 97496 109683 125352 141021 146244 170618 188028 219366 255927 282042 292488 329049 341236 376056 438732 511854 564084 658098 682472 767781 877464 987147 1023708 1128168 1316196 1535562 1974294 2047416 2303343 2632392 3071124 3948588 4606686 6142248 6910029 7897176 9213372 13820058 18426744 27640116 55280232