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55924288 = 2672171049
BaseRepresentation
bin1101010101010…
…1011001000000
310220020020200221
43111111121000
5103304034123
65314352424
71246230400
oct325253100
9126206627
1055924288
1129627822
121688b714
13b780ac4
1475da800
154d9a25d
hex3555640

55924288 has 84 divisors (see below), whose sum is σ = 136817100. Its totient is φ = 22536192.

The previous prime is 55924243. The next prime is 55924289. The reversal of 55924288 is 88242955.

It can be written as a sum of positive squares in 2 ways, for example, as 47444544 + 8479744 = 6888^2 + 2912^2 .

It is not an unprimeable number, because it can be changed into a prime (55924289) 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 11 ways as a sum of consecutive naturals, for example, 52788 + ... + 53836.

It is an arithmetic number, because the mean of its divisors is an integer number (1628775).

Almost surely, 255924288 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 55924288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68408550).

55924288 is an abundant number, since it is smaller than the sum of its proper divisors (80892812).

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

55924288 is a wasteful number, since it uses less digits than its factorization.

55924288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1075 counting only the distinct ones).

The product of its digits is 230400, while the sum is 43.

The square root of 55924288 is about 7478.2543417565. The cubic root of 55924288 is about 382.4137399287.

The spelling of 55924288 in words is "fifty-five million, nine hundred twenty-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 136 196 224 238 272 392 448 476 544 784 833 952 1049 1088 1568 1666 1904 2098 3136 3332 3808 4196 6664 7343 7616 8392 13328 14686 16784 17833 26656 29372 33568 35666 51401 53312 58744 67136 71332 102802 117488 124831 142664 205604 234976 249662 285328 411208 469952 499324 570656 822416 873817 998648 1141312 1644832 1747634 1997296 3289664 3495268 3994592 6990536 7989184 13981072 27962144 55924288