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252104088 = 2333727673
BaseRepresentation
bin11110000011011…
…00110110011000
3122120101012210110
433001230312120
51004014312323
641003244320
76150564225
oct1701546630
9576335713
10252104088
1111a340595
12705196a0
13402cb322
14256a694c
15171ec793
hexf06cd98

252104088 has 48 divisors (see below), whose sum is σ = 647839080. Its totient is φ = 81752832.

The previous prime is 252104011. The next prime is 252104123. The reversal of 252104088 is 880401252.

252104088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29020 + ... + 36692.

Almost surely, 2252104088 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 252104088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323919540).

252104088 is an abundant number, since it is smaller than the sum of its proper divisors (395734992).

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

252104088 is a wasteful number, since it uses less digits than its factorization.

252104088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7756 (or 7715 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 252104088 is about 15877.7859917559. The cubic root of 252104088 is about 631.7229130379.

The spelling of 252104088 in words is "two hundred fifty-two million, one hundred four thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 1369 2738 4107 5476 7673 8214 10952 15346 16428 23019 30692 32856 46038 61384 92076 184152 283901 567802 851703 1135604 1703406 2271208 3406812 6813624 10504337 21008674 31513011 42017348 63026022 84034696 126052044 252104088