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42857936 = 24111012411
BaseRepresentation
bin1010001101111…
…1010111010000
32222122102000222
42203133113100
541432423221
64130332212
71030200152
oct243372720
988572028
1042857936
1122212890
121242a068
138b57634
145998ad2
153b689ab
hex28df5d0

42857936 has 40 divisors (see below), whose sum is σ = 91520928. Its totient is φ = 19280000.

The previous prime is 42857923. The next prime is 42857953. The reversal of 42857936 is 63975824.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16571 + ... + 18981.

Almost surely, 242857936 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 42857936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45760464).

42857936 is an abundant number, since it is smaller than the sum of its proper divisors (48662992).

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

42857936 is a wasteful number, since it uses less digits than its factorization.

42857936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2531 (or 2525 counting only the distinct ones).

The product of its digits is 362880, while the sum is 44.

The square root of 42857936 is about 6546.5972840858. The cubic root of 42857936 is about 349.9535611856.

It can be divided in two parts, 4285 and 7936, that added together give a palindrome (12221).

The spelling of 42857936 in words is "forty-two million, eight hundred fifty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 44 88 101 176 202 404 808 1111 1616 2222 2411 4444 4822 8888 9644 17776 19288 26521 38576 53042 106084 212168 243511 424336 487022 974044 1948088 2678621 3896176 5357242 10714484 21428968 42857936