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26887952 = 2471359313
BaseRepresentation
bin110011010010…
…0011100010000
31212121001100002
41212210130100
523340403302
62400145132
7444354350
oct146443420
955531302
1026887952
11141a5353
1290081a8
135755640
1437dcb60
152561c02
hex19a4710

26887952 has 80 divisors (see below), whose sum is σ = 65412480. Its totient is φ = 10423296.

The previous prime is 26887951. The next prime is 26887963. The reversal of 26887952 is 25978862.

It is a junction number, because it is equal to n+sod(n) for n = 26887897 and 26887906.

It is not an unprimeable number, because it can be changed into a prime (26887951) 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, 85748 + ... + 86060.

It is an arithmetic number, because the mean of its divisors is an integer number (817656).

Almost surely, 226887952 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 26887952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32706240).

26887952 is an abundant number, since it is smaller than the sum of its proper divisors (38524528).

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

26887952 is a wasteful number, since it uses less digits than its factorization.

26887952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 394 counting only the distinct ones).

The product of its digits is 483840, while the sum is 47.

The square root of 26887952 is about 5185.3593896663. The cubic root of 26887952 is about 299.5844320174.

The spelling of 26887952 in words is "twenty-six million, eight hundred eighty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 59 91 104 112 118 182 208 236 313 364 413 472 626 728 767 826 944 1252 1456 1534 1652 2191 2504 3068 3304 4069 4382 5008 5369 6136 6608 8138 8764 10738 12272 16276 17528 18467 21476 28483 32552 35056 36934 42952 56966 65104 73868 85904 113932 129269 147736 227864 240071 258538 295472 455728 480142 517076 960284 1034152 1680497 1920568 2068304 3360994 3841136 6721988 13443976 26887952