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28762314 = 2372192271
BaseRepresentation
bin110110110111…
…0000011001010
32000010021110220
41231232003022
524330343224
62504250510
7466322100
oct155560312
960107426
1028762314
1115265609
129770a36
135c60829
143b69c70
1527d2279
hex1b6e0ca

28762314 has 72 divisors (see below), whose sum is σ = 70884288. Its totient is φ = 7756560.

The previous prime is 28762309. The next prime is 28762337. The reversal of 28762314 is 41326782.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 105999 + ... + 106269.

It is an arithmetic number, because the mean of its divisors is an integer number (984504).

Almost surely, 228762314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28762314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35442144).

28762314 is an abundant number, since it is smaller than the sum of its proper divisors (42121974).

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

28762314 is a wasteful number, since it uses less digits than its factorization.

28762314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 302 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 28762314 is about 5363.0508108725. The cubic root of 28762314 is about 306.3900148882.

The spelling of 28762314 in words is "twenty-eight million, seven hundred sixty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 266 271 294 361 399 542 722 798 813 931 1083 1626 1862 1897 2166 2527 2793 3794 5054 5149 5586 5691 7581 10298 11382 13279 15162 15447 17689 26558 30894 35378 36043 39837 53067 72086 79674 97831 106134 108129 195662 216258 252301 293493 504602 586986 684817 756903 1369634 1513806 2054451 4108902 4793719 9587438 14381157 28762314