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26055252 = 22323137631
BaseRepresentation
bin110001101100…
…1001001010100
31211000202002100
41203121021110
523132232002
62330242100
7434315556
oct143311124
954022070
1026055252
1113786773
128886330
135523612
1436634d6
15244a11c
hex18d9254

26055252 has 72 divisors (see below), whose sum is σ = 69934592. Its totient is φ = 8164800.

The previous prime is 26055247. The next prime is 26055257. The reversal of 26055252 is 25255062.

26055252 is a `hidden beast` number, since 2 + 60 + 552 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (26055247) and next prime (26055257).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26055257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40977 + ... + 41607.

Almost surely, 226055252 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 26055252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34967296).

26055252 is an abundant number, since it is smaller than the sum of its proper divisors (43879340).

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

26055252 is a wasteful number, since it uses less digits than its factorization.

26055252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 26055252 is about 5104.4345426306. The cubic root of 26055252 is about 296.4593094338.

The spelling of 26055252 in words is "twenty-six million, fifty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 37 62 74 93 111 124 148 186 222 279 333 372 444 558 631 666 1116 1147 1262 1332 1893 2294 2524 3441 3786 4588 5679 6882 7572 10323 11358 13764 19561 20646 22716 23347 39122 41292 46694 58683 70041 78244 93388 117366 140082 176049 210123 234732 280164 352098 420246 704196 723757 840492 1447514 2171271 2895028 4342542 6513813 8685084 13027626 26055252