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42727344 = 2431180923
BaseRepresentation
bin1010001011111…
…1011110110000
32222101202220020
42202333132300
541414233334
64123443440
71026114342
oct242773660
988352806
1042727344
1122133760
1212386580
138b1006a
145963292
153b3ee49
hex28bf7b0

42727344 has 40 divisors (see below), whose sum is σ = 120414912. Its totient is φ = 12947520.

The previous prime is 42727319. The next prime is 42727361. The reversal of 42727344 is 44372724.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 39934 + ... + 40989.

Almost surely, 242727344 is an apocalyptic number.

42727344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42727344 is an abundant number, since it is smaller than the sum of its proper divisors (77687568).

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

42727344 is a wasteful number, since it uses less digits than its factorization.

42727344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80945 (or 80939 counting only the distinct ones).

The product of its digits is 37632, while the sum is 33.

The square root of 42727344 is about 6536.6156380806. The cubic root of 42727344 is about 349.5977528495.

It can be divided in two parts, 42727 and 344, that added together give a triangular number (43071 = T293).

The spelling of 42727344 in words is "forty-two million, seven hundred twenty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 80923 161846 242769 323692 485538 647384 890153 971076 1294768 1780306 1942152 2670459 3560612 3884304 5340918 7121224 10681836 14242448 21363672 42727344