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42496 = 2983
BaseRepresentation
bin1010011000000000
32011021221
422120000
52324441
6524424
7234616
oct123000
964257
1042496
1129a23
1220714
131645c
14116b6
15c8d1
hexa600

42496 has 20 divisors (see below), whose sum is σ = 85932. Its totient is φ = 20992.

The previous prime is 42491. The next prime is 42499. The reversal of 42496 is 69424.

It can be divided in two parts, 424 and 96, that multiplied together give a palindrome (40704).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 42496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42491) by changing a digit.

42496 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 471 + ... + 553.

242496 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 42496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42966).

42496 is an abundant number, since it is smaller than the sum of its proper divisors (43436).

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

42496 is an frugal number, since it uses more digits than its factorization.

42496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 85 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

The square root of 42496 is about 206.1455796276. The cubic root of 42496 is about 34.8965653716.

The spelling of 42496 in words is "forty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 83 128 166 256 332 512 664 1328 2656 5312 10624 21248 42496