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42411240 = 23325117809
BaseRepresentation
bin1010000111001…
…0010011101000
32221210201021200
42201302103220
541324124430
64113004200
71023326634
oct241622350
987721250
1042411240
1121a38213
1212253660
138a2c211
1458bddc4
153acb460
hex28724e8

42411240 has 48 divisors (see below), whose sum is σ = 137837700. Its totient is φ = 11309568.

The previous prime is 42411221. The next prime is 42411247. The reversal of 42411240 is 4211424.

42411240 is a `hidden beast` number, since 424 + 1 + 1 + 240 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40985604 + 1425636 = 6402^2 + 1194^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (42411247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58545 + ... + 59264.

Almost surely, 242411240 is an apocalyptic number.

42411240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42411240 is an abundant number, since it is smaller than the sum of its proper divisors (95426460).

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

42411240 is a wasteful number, since it uses less digits than its factorization.

42411240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117826 (or 117819 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 42411240 is about 6512.3912658869. The cubic root of 42411240 is about 348.7334905662.

Adding to 42411240 its reverse (4211424), we get a palindrome (46622664).

It can be divided in two parts, 424 and 11240, that added together give a square (11664 = 1082).

The spelling of 42411240 in words is "forty-two million, four hundred eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 117809 235618 353427 471236 589045 706854 942472 1060281 1178090 1413708 1767135 2120562 2356180 2827416 3534270 4241124 4712360 5301405 7068540 8482248 10602810 14137080 21205620 42411240