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42720264 = 2333197779
BaseRepresentation
bin1010001011110…
…1110000001000
32222101102012000
42202331300020
541414022024
64123351000
71026054606
oct242756010
988342160
1042720264
1122129404
1212382460
138b09a82
145960876
153b3ccc9
hex28bdc08

42720264 has 32 divisors (see below), whose sum is σ = 118668000. Its totient is φ = 14240016.

The previous prime is 42720259. The next prime is 42720281. The reversal of 42720264 is 46202724.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 98674 + ... + 99105.

It is an arithmetic number, because the mean of its divisors is an integer number (3708375).

Almost surely, 242720264 is an apocalyptic number.

It is an amenable number.

42720264 is an abundant number, since it is smaller than the sum of its proper divisors (75947736).

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

42720264 is a wasteful number, since it uses less digits than its factorization.

42720264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197794 (or 197784 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 42720264 is about 6536.0740509881. The cubic root of 42720264 is about 349.5784421179.

Adding to 42720264 its reverse (46202724), we get a palindrome (88922988).

The spelling of 42720264 in words is "forty-two million, seven hundred twenty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 197779 395558 593337 791116 1186674 1582232 1780011 2373348 3560022 4746696 5340033 7120044 10680066 14240088 21360132 42720264