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42559476 = 22323413761
BaseRepresentation
bin1010001001011…
…0011111110100
32222002020121220
42202112133310
541343400401
64120110340
71024515051
oct242263764
988066556
1042559476
1122029623
12123053b0
138a8182b
14591c028
153b0a336
hex28967f4

42559476 has 48 divisors (see below), whose sum is σ = 106178688. Its totient is φ = 13235200.

The previous prime is 42559471. The next prime is 42559513. The reversal of 42559476 is 67495524.

It is a super-2 number, since 2×425594762 = 3622617994789152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42559471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9436 + ... + 13196.

It is an arithmetic number, because the mean of its divisors is an integer number (2212056).

Almost surely, 242559476 is an apocalyptic number.

42559476 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42559476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53089344).

42559476 is an abundant number, since it is smaller than the sum of its proper divisors (63619212).

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

42559476 is a wasteful number, since it uses less digits than its factorization.

42559476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3832 (or 3830 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 42559476 is about 6523.7624113697. The cubic root of 42559476 is about 349.1393165244.

It can be divided in two parts, 4255 and 9476, that added together give a palindrome (13731).

The spelling of 42559476 in words is "forty-two million, five hundred fifty-nine thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 12 23 41 46 69 82 92 123 138 164 246 276 492 943 1886 2829 3761 3772 5658 7522 11283 11316 15044 22566 45132 86503 154201 173006 259509 308402 346012 462603 519018 616804 925206 1038036 1850412 3546623 7093246 10639869 14186492 21279738 42559476