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42454528 = 29283293
BaseRepresentation
bin1010000111110…
…0111000000000
32221212220122221
42201330320000
541332021103
64113540424
71023600064
oct241747000
987786587
1042454528
1121a67796
1212274714
138a45b2c
1458d1aa4
153ad91bd
hex287ce00

42454528 has 40 divisors (see below), whose sum is σ = 85416408. Its totient is φ = 21080064.

The previous prime is 42454523. The next prime is 42454547. The reversal of 42454528 is 82545424.

It is a junction number, because it is equal to n+sod(n) for n = 42454493 and 42454502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42454523) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 144750 + ... + 145042.

Almost surely, 242454528 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 42454528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42708204).

42454528 is an abundant number, since it is smaller than the sum of its proper divisors (42961880).

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

42454528 is an equidigital number, since it uses as much as digits as its factorization.

42454528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 578 counting only the distinct ones).

The product of its digits is 51200, while the sum is 34.

The square root of 42454528 is about 6515.7139286497. The cubic root of 42454528 is about 348.8520978209.

The spelling of 42454528 in words is "forty-two million, four hundred fifty-four thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 283 293 512 566 586 1132 1172 2264 2344 4528 4688 9056 9376 18112 18752 36224 37504 72448 75008 82919 144896 150016 165838 331676 663352 1326704 2653408 5306816 10613632 21227264 42454528