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55296560 = 24511312027
BaseRepresentation
bin1101001011110…
…0001000110000
310212001100121202
43102330020300
5103123442220
65253110332
71241004314
oct322741060
9125040552
1055296560
1129239140
12166283a8
13b5c1177
1474b5b44
154cc4275
hex34bc230

55296560 has 80 divisors (see below), whose sum is σ = 144847872. Its totient is φ = 19449600.

The previous prime is 55296497. The next prime is 55296569. The reversal of 55296560 is 6569255.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55296569) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 26267 + ... + 28293.

Almost surely, 255296560 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 55296560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72423936).

55296560 is an abundant number, since it is smaller than the sum of its proper divisors (89551312).

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

55296560 is a wasteful number, since it uses less digits than its factorization.

55296560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 38.

The square root of 55296560 is about 7436.1656786277. The cubic root of 55296560 is about 380.9775385568.

The spelling of 55296560 in words is "fifty-five million, two hundred ninety-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 110 124 155 176 220 248 310 341 440 496 620 682 880 1240 1364 1705 2027 2480 2728 3410 4054 5456 6820 8108 10135 13640 16216 20270 22297 27280 32432 40540 44594 62837 81080 89188 111485 125674 162160 178376 222970 251348 314185 356752 445940 502696 628370 691207 891880 1005392 1256740 1382414 1783760 2513480 2764828 3456035 5026960 5529656 6912070 11059312 13824140 27648280 55296560