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42480624 = 2431396367
BaseRepresentation
bin1010001000001…
…1001111110000
32221221020110110
42202003033300
541333334444
64114301320
71024036134
oct242031760
987836413
1042480624
1121a8535a
1212287840
138a54984
1458db3c4
153ae1cb9
hex28833f0

42480624 has 40 divisors (see below), whose sum is σ = 110548480. Its totient is φ = 14056128.

The previous prime is 42480623. The next prime is 42480643. The reversal of 42480624 is 42608424.

It is a junction number, because it is equal to n+sod(n) for n = 42480591 and 42480600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42480623) by changing a digit.

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, 3489 + ... + 9855.

It is an arithmetic number, because the mean of its divisors is an integer number (2763712).

Almost surely, 242480624 is an apocalyptic number.

It is an amenable number.

42480624 is an abundant number, since it is smaller than the sum of its proper divisors (68067856).

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

42480624 is a wasteful number, since it uses less digits than its factorization.

42480624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6517 (or 6511 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 42480624 is about 6517.7161644245. The cubic root of 42480624 is about 348.9235607887.

The spelling of 42480624 in words is "forty-two million, four hundred eighty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 139 278 417 556 834 1112 1668 2224 3336 6367 6672 12734 19101 25468 38202 50936 76404 101872 152808 305616 885013 1770026 2655039 3540052 5310078 7080104 10620156 14160208 21240312 42480624