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2585088 = 29331117
BaseRepresentation
bin1001110111001000000000
311212100002000
421313020000
51130210323
6131224000
730654462
oct11671000
94770060
102585088
111506240
12a48000
136c684c
144b4132
15360e43
hex277200

2585088 has 160 divisors (see below), whose sum is σ = 8838720. Its totient is φ = 737280.

The previous prime is 2585081. The next prime is 2585111. The reversal of 2585088 is 8805852.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152056 + ... + 152072.

It is an arithmetic number, because the mean of its divisors is an integer number (55242).

22585088 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 2585088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4419360).

2585088 is an abundant number, since it is smaller than the sum of its proper divisors (6253632).

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

2585088 is a wasteful number, since it uses less digits than its factorization.

2585088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 2585088 is about 1607.8208855466. The cubic root of 2585088 is about 137.2434975569.

The spelling of 2585088 in words is "two million, five hundred eighty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 32 33 34 36 44 48 51 54 64 66 68 72 88 96 99 102 108 128 132 136 144 153 176 187 192 198 204 216 256 264 272 288 297 306 352 374 384 396 408 432 459 512 528 544 561 576 594 612 704 748 768 792 816 864 918 1056 1088 1122 1152 1188 1224 1408 1496 1536 1584 1632 1683 1728 1836 2112 2176 2244 2304 2376 2448 2816 2992 3168 3264 3366 3456 3672 4224 4352 4488 4608 4752 4896 5049 5632 5984 6336 6528 6732 6912 7344 8448 8704 8976 9504 9792 10098 11968 12672 13056 13464 13824 14688 16896 17952 19008 19584 20196 23936 25344 26112 26928 29376 35904 38016 39168 40392 47872 50688 53856 58752 71808 76032 78336 80784 95744 107712 117504 143616 152064 161568 215424 235008 287232 323136 430848 646272 861696 1292544 2585088