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42141424 = 2413832441
BaseRepresentation
bin1010000011000…
…0011011110000
32221022000011111
42200300123300
541242011144
64103123104
71021124203
oct240603360
987260144
1042141424
1121873526
1212143494
138966470
14584d93a
153a76534
hex28306f0

42141424 has 40 divisors (see below), whose sum is σ = 89025552. Its totient is φ = 19207680.

The previous prime is 42141403. The next prime is 42141443. The reversal of 42141424 is 42414124.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42141395 and 42141404.

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, 16044 + ... + 18484.

Almost surely, 242141424 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 42141424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44512776).

42141424 is an abundant number, since it is smaller than the sum of its proper divisors (46884128).

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

42141424 is a wasteful number, since it uses less digits than its factorization.

42141424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545 (or 2539 counting only the distinct ones).

The product of its digits is 1024, while the sum is 22.

The square root of 42141424 is about 6491.6426272554. The cubic root of 42141424 is about 347.9923810372.

Adding to 42141424 its reverse (42414124), we get a palindrome (84555548).

The spelling of 42141424 in words is "forty-two million, one hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 83 104 166 208 332 664 1079 1328 2158 2441 4316 4882 8632 9764 17264 19528 31733 39056 63466 126932 202603 253864 405206 507728 810412 1620824 2633839 3241648 5267678 10535356 21070712 42141424