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57689088 = 210389211
BaseRepresentation
bin1101110000010…
…0010000000000
311000112220112220
43130010100000
5104232022323
65420251040
71300230522
oct334042000
9130486486
1057689088
112a622736
12173a0a80
13bc4b172
147939a12
1550e80e3
hex3704400

57689088 has 88 divisors (see below), whose sum is σ = 156227040. Its totient is φ = 18923520.

The previous prime is 57689081. The next prime is 57689113. The reversal of 57689088 is 88098675.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 57689088.

It is not an unprimeable number, because it can be changed into a prime (57689081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 273303 + ... + 273513.

Almost surely, 257689088 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 57689088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78113520).

57689088 is an abundant number, since it is smaller than the sum of its proper divisors (98537952).

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

57689088 is a wasteful number, since it uses less digits than its factorization.

57689088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The square root of 57689088 is about 7595.3333040756. Note that the first 4 decimals coincide. The cubic root of 57689088 is about 386.3947566469.

The spelling of 57689088 in words is "fifty-seven million, six hundred eighty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 211 256 267 356 384 422 512 534 633 712 768 844 1024 1068 1266 1424 1536 1688 2136 2532 2848 3072 3376 4272 5064 5696 6752 8544 10128 11392 13504 17088 18779 20256 22784 27008 34176 37558 40512 45568 54016 56337 68352 75116 81024 91136 108032 112674 136704 150232 162048 216064 225348 273408 300464 324096 450696 600928 648192 901392 1201856 1802784 2403712 3605568 4807424 7211136 9614848 14422272 19229696 28844544 57689088