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42024240 = 2432558367
BaseRepresentation
bin1010000001001…
…1110100110000
32221002001102100
42200103310300
541224233430
64100420400
71020125436
oct240236460
987061370
1042024240
11217a3485
12120a7700
13892501b
14581cd56
153a51960
hex2813d30

42024240 has 60 divisors (see below), whose sum is σ = 141133824. Its totient is φ = 11206272.

The previous prime is 42024239. The next prime is 42024247. The reversal of 42024240 is 4242024.

42024240 is a `hidden beast` number, since 420 + 2 + 4 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

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 (42024247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28464 + ... + 29903.

Almost surely, 242024240 is an apocalyptic number.

42024240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42024240 is an abundant number, since it is smaller than the sum of its proper divisors (99109584).

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

42024240 is a wasteful number, since it uses less digits than its factorization.

42024240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58386 (or 58377 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 42024240 is about 6482.6105852504. The cubic root of 42024240 is about 347.6695237595.

Adding to 42024240 its reverse (4242024), we get a palindrome (46266264).

The spelling of 42024240 in words is "forty-two million, twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 58367 116734 175101 233468 291835 350202 466936 525303 583670 700404 875505 933872 1050606 1167340 1400808 1751010 2101212 2334680 2626515 2801616 3502020 4202424 4669360 5253030 7004040 8404848 10506060 14008080 21012120 42024240