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26052152 = 2373143349
BaseRepresentation
bin110001101100…
…0011000111000
31211000120211112
41203120120320
523132132102
62330215452
7434303540
oct143303070
954016745
1026052152
1113784405
128884588
135522099
143662320
152449252
hex18d8638

26052152 has 64 divisors (see below), whose sum is σ = 59136000. Its totient is φ = 10523520.

The previous prime is 26052151. The next prime is 26052157. The reversal of 26052152 is 25125062.

It is a super-2 number, since 2×260521522 = 1357429247662208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26052151) 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 15 ways as a sum of consecutive naturals, for example, 74474 + ... + 74822.

It is an arithmetic number, because the mean of its divisors is an integer number (924000).

Almost surely, 226052152 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 26052152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29568000).

26052152 is an abundant number, since it is smaller than the sum of its proper divisors (33083848).

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

26052152 is a wasteful number, since it uses less digits than its factorization.

26052152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 26052152 is about 5104.1308760650. The cubic root of 26052152 is about 296.4475515956.

The spelling of 26052152 in words is "twenty-six million, fifty-two thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 31 43 56 62 86 124 172 217 248 301 344 349 434 602 698 868 1204 1333 1396 1736 2408 2443 2666 2792 4886 5332 9331 9772 10664 10819 15007 18662 19544 21638 30014 37324 43276 60028 74648 75733 86552 105049 120056 151466 210098 302932 420196 465217 605864 840392 930434 1860868 3256519 3721736 6513038 13026076 26052152