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42781480 = 2357152791
BaseRepresentation
bin1010001100110…
…0101100101000
32222111112011021
42203030230220
541423001410
64124542224
71026431230
oct243145450
988445137
1042781480
11221703a5
12123b1974
138b2b8b1
145978cc0
153b50eda
hex28ccb28

42781480 has 32 divisors (see below), whose sum is σ = 110010240. Its totient is φ = 14667840.

The previous prime is 42781463. The next prime is 42781481. The reversal of 42781480 is 8418724.

It is a super-3 number, since 3×427814803 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (42781481) 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, 76116 + ... + 76675.

It is an arithmetic number, because the mean of its divisors is an integer number (3437820).

Almost surely, 242781480 is an apocalyptic number.

42781480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42781480 is an abundant number, since it is smaller than the sum of its proper divisors (67228760).

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

42781480 is a wasteful number, since it uses less digits than its factorization.

42781480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152809 (or 152805 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 42781480 is about 6540.7553080665. The cubic root of 42781480 is about 349.7453385618.

The spelling of 42781480 in words is "forty-two million, seven hundred eighty-one thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 152791 305582 611164 763955 1069537 1222328 1527910 2139074 3055820 4278148 5347685 6111640 8556296 10695370 21390740 42781480