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42252720 = 2435176053
BaseRepresentation
bin1010000100101…
…1100110110000
32221111122211120
42201023212300
541304041340
64105342240
71022066526
oct241134660
987448746
1042252720
112193a104
1212197980
1389a5013
14587c316
153a994d0
hex284b9b0

42252720 has 40 divisors (see below), whose sum is σ = 130984176. Its totient is φ = 11267328.

The previous prime is 42252719. The next prime is 42252731. The reversal of 42252720 is 2725224.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 87787 + ... + 88266.

Almost surely, 242252720 is an apocalyptic number.

42252720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42252720 is an abundant number, since it is smaller than the sum of its proper divisors (88731456).

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

42252720 is a wasteful number, since it uses less digits than its factorization.

42252720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176069 (or 176063 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 42252720 is about 6500.2092274018. The cubic root of 42252720 is about 348.2984624072.

Adding to 42252720 its reverse (2725224), we get a palindrome (44977944).

The spelling of 42252720 in words is "forty-two million, two hundred fifty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 176053 352106 528159 704212 880265 1056318 1408424 1760530 2112636 2640795 2816848 3521060 4225272 5281590 7042120 8450544 10563180 14084240 21126360 42252720