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42620592 = 2437218121
BaseRepresentation
bin1010001010010…
…1011010110000
32222012100110110
42202211122300
541402324332
64121301320
71025161200
oct242453260
988170413
1042620592
1122070533
1212334840
138aa35b1
145936400
153b1d4cc
hex28a56b0

42620592 has 60 divisors (see below), whose sum is σ = 128086296. Its totient is φ = 12176640.

The previous prime is 42620569. The next prime is 42620603. The reversal of 42620592 is 29502624.

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 11 ways as a sum of consecutive naturals, for example, 6709 + ... + 11412.

Almost surely, 242620592 is an apocalyptic number.

42620592 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42620592 is an abundant number, since it is smaller than the sum of its proper divisors (85465704).

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

42620592 is a wasteful number, since it uses less digits than its factorization.

42620592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18146 (or 18133 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 42620592 is about 6528.4448377849. Note that the first 3 decimals coincide. The cubic root of 42620592 is about 349.3063595642.

The spelling of 42620592 in words is "forty-two million, six hundred twenty thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 18121 36242 54363 72484 108726 126847 144968 217452 253694 289936 380541 434904 507388 761082 869808 887929 1014776 1522164 1775858 2029552 2663787 3044328 3551716 5327574 6088656 7103432 10655148 14206864 21310296 42620592