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42511424 = 261741953
BaseRepresentation
bin1010001000101…
…0110001000000
32221222210201012
42202022301000
541340331144
64115100052
71024225004
oct242126100
987883635
1042511424
1121aa650a
12122a1628
138a659b7
145908704
153aeae9e
hex288ac40

42511424 has 56 divisors (see below), whose sum is σ = 91595448. Its totient is φ = 19496960.

The previous prime is 42511423. The next prime is 42511439. The reversal of 42511424 is 42411524.

It can be written as a sum of positive squares in 4 ways, for example, as 1960000 + 40551424 = 1400^2 + 6368^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42511424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42511423) 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, 44132 + ... + 45084.

It is an arithmetic number, because the mean of its divisors is an integer number (1635633).

Almost surely, 242511424 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 42511424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45797724).

42511424 is an abundant number, since it is smaller than the sum of its proper divisors (49084024).

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

42511424 is a wasteful number, since it uses less digits than its factorization.

42511424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1013 counting only the distinct ones).

The product of its digits is 1280, while the sum is 23.

The square root of 42511424 is about 6520.0785271345. The cubic root of 42511424 is about 349.0078678478.

Adding to 42511424 its reverse (42411524), we get a palindrome (84922948).

The spelling of 42511424 in words is "forty-two million, five hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 136 164 272 328 544 656 697 953 1088 1312 1394 1906 2624 2788 3812 5576 7624 11152 15248 16201 22304 30496 32402 39073 44608 60992 64804 78146 129608 156292 259216 312584 518432 625168 664241 1036864 1250336 1328482 2500672 2656964 5313928 10627856 21255712 42511424