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42812896 = 2571311459
BaseRepresentation
bin1010001101010…
…0010111100000
32222120010020211
42203110113200
541430003041
64125343504
71026621640
oct243242740
988503224
1042812896
1122191a65
1212407b94
138b3cc99
145986520
153b5a481
hex28d45e0

42812896 has 48 divisors (see below), whose sum is σ = 97130880. Its totient is φ = 18195840.

The previous prime is 42812873. The next prime is 42812921. The reversal of 42812896 is 69821824.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 28615 + ... + 30073.

It is an arithmetic number, because the mean of its divisors is an integer number (2023560).

Almost surely, 242812896 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 42812896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48565440).

42812896 is an abundant number, since it is smaller than the sum of its proper divisors (54317984).

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

42812896 is a wasteful number, since it uses less digits than its factorization.

42812896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1599 counting only the distinct ones).

The product of its digits is 55296, while the sum is 40.

The square root of 42812896 is about 6543.1564248457. The cubic root of 42812896 is about 349.8309278644.

The spelling of 42812896 in words is "forty-two million, eight hundred twelve thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 131 224 262 524 917 1048 1459 1834 2096 2918 3668 4192 5836 7336 10213 11672 14672 20426 23344 29344 40852 46688 81704 163408 191129 326816 382258 764516 1337903 1529032 2675806 3058064 5351612 6116128 10703224 21406448 42812896