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26282016 = 2533191601
BaseRepresentation
bin110010001000…
…0100000100000
31211110021011000
41210100200200
523212011031
62335152000
7436251645
oct144204040
954407130
1026282016
1113921082
128975600
1355a28b7
1436c1dcc
1524923e6
hex1910820

26282016 has 96 divisors (see below), whose sum is σ = 80740800. Its totient is φ = 8294400.

The previous prime is 26281979. The next prime is 26282027. The reversal of 26282016 is 61028262.

26282016 is a `hidden beast` number, since 2 + 628 + 20 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15616 + ... + 17216.

It is an arithmetic number, because the mean of its divisors is an integer number (841050).

Almost surely, 226282016 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 26282016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40370400).

26282016 is an abundant number, since it is smaller than the sum of its proper divisors (54458784).

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

26282016 is a wasteful number, since it uses less digits than its factorization.

26282016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 26282016 is about 5126.5988725470. The cubic root of 26282016 is about 297.3168743305.

The spelling of 26282016 in words is "twenty-six million, two hundred eighty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1601 1824 2052 2736 3202 4104 4803 5472 6404 8208 9606 12808 14409 16416 19212 25616 28818 30419 38424 43227 51232 57636 60838 76848 86454 91257 115272 121676 153696 172908 182514 230544 243352 273771 345816 365028 461088 486704 547542 691632 730056 821313 973408 1095084 1383264 1460112 1642626 2190168 2920224 3285252 4380336 6570504 8760672 13141008 26282016