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42665056 = 257792411
BaseRepresentation
bin1010001011000…
…0010001100000
32222021121110021
42202300101200
541410240211
64122243224
71025434630
oct242602140
988247407
1042665056
11220a0985
1212356514
138aba8c5
1459486c0
153b2b771
hex28b0460

42665056 has 48 divisors (see below), whose sum is σ = 97251840. Its totient is φ = 18046080.

The previous prime is 42665041. The next prime is 42665057. The reversal of 42665056 is 65056624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42665057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16491 + ... + 18901.

It is an arithmetic number, because the mean of its divisors is an integer number (2026080).

Almost surely, 242665056 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 42665056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48625920).

42665056 is an abundant number, since it is smaller than the sum of its proper divisors (54586784).

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

42665056 is a wasteful number, since it uses less digits than its factorization.

42665056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2507 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 42665056 is about 6531.8493552745. The cubic root of 42665056 is about 349.4277888175.

The spelling of 42665056 in words is "forty-two million, six hundred sixty-five thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 79 112 158 224 316 553 632 1106 1264 2212 2411 2528 4424 4822 8848 9644 16877 17696 19288 33754 38576 67508 77152 135016 190469 270032 380938 540064 761876 1333283 1523752 2666566 3047504 5333132 6095008 10666264 21332528 42665056