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42411424 = 2511711697
BaseRepresentation
bin1010000111001…
…0010110100000
32221210201112111
42201302112200
541324131144
64113005104
71023330316
oct241622640
987721474
1042411424
1121a38370
1212253794
138a2c323
1458c00b6
153acb534
hex28725a0

42411424 has 48 divisors (see below), whose sum is σ = 92425536. Its totient is φ = 18995200.

The previous prime is 42411419. The next prime is 42411433.

42411424 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 = 42411395 and 42411404.

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, 24144 + ... + 25840.

It is an arithmetic number, because the mean of its divisors is an integer number (1925532).

Almost surely, 242411424 is an apocalyptic number.

42411424 is a gapful number since it is divisible by the number (44) 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 42411424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46212768).

42411424 is an abundant number, since it is smaller than the sum of its proper divisors (50014112).

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

42411424 is a wasteful number, since it uses less digits than its factorization.

42411424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1781 counting only the distinct ones).

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

The square root of 42411424 is about 6512.4053927869. The cubic root of 42411424 is about 348.7339948890.

It can be divided in two parts, 4241 and 1424, that added together give a palindrome (5665).

The spelling of 42411424 in words is "forty-two million, four hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 71 88 142 176 284 352 568 781 1136 1562 1697 2272 3124 3394 6248 6788 12496 13576 18667 24992 27152 37334 54304 74668 120487 149336 240974 298672 481948 597344 963896 1325357 1927792 2650714 3855584 5301428 10602856 21205712 42411424