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42480576 = 263273751
BaseRepresentation
bin1010001000001…
…1001111000000
32221221020101200
42202003033000
541333334301
64114301200
71024036035
oct242031700
987836350
1042480576
1121a85316
1212287800
138a54948
1458db38c
153ae1c86
hex28833c0

42480576 has 42 divisors (see below), whose sum is σ = 121764552. Its totient is φ = 14160000.

The previous prime is 42480541. The next prime is 42480587. The reversal of 42480576 is 67508424.

42480576 is a `hidden beast` number, since 4 + 2 + 4 + 80 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42480576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36300 + ... + 37451.

It is an arithmetic number, because the mean of its divisors is an integer number (2899156).

Almost surely, 242480576 is an apocalyptic number.

It is an amenable number.

42480576 is an abundant number, since it is smaller than the sum of its proper divisors (79283976).

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

42480576 is a wasteful number, since it uses less digits than its factorization.

42480576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73769 (or 73756 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 42480576 is about 6517.7124821520. The cubic root of 42480576 is about 348.9234293693.

The spelling of 42480576 in words is "forty-two million, four hundred eighty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 73751 147502 221253 295004 442506 590008 663759 885012 1180016 1327518 1770024 2360032 2655036 3540048 4720064 5310072 7080096 10620144 14160192 21240288 42480576