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42737568 = 253445183
BaseRepresentation
bin1010001100000…
…1111110100000
32222102021220220
42203001332200
541420100233
64124003040
71026156216
oct243017640
988367826
1042737568
1122140405
1212390480
138b14903
145966cb6
153b42eb3
hex28c1fa0

42737568 has 24 divisors (see below), whose sum is σ = 112186368. Its totient is φ = 14245824.

The previous prime is 42737549. The next prime is 42737573. The reversal of 42737568 is 86573724.

It is a tau number, because it is divible by the number of its divisors (24).

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 3 ways as a sum of consecutive naturals, for example, 222496 + ... + 222687.

It is an arithmetic number, because the mean of its divisors is an integer number (4674432).

Almost surely, 242737568 is an apocalyptic number.

42737568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42737568 is an abundant number, since it is smaller than the sum of its proper divisors (69448800).

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

42737568 is a wasteful number, since it uses less digits than its factorization.

42737568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445196 (or 445188 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 42737568 is about 6537.3976473823. The cubic root of 42737568 is about 349.6256350910.

The spelling of 42737568 in words is "forty-two million, seven hundred thirty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 445183 890366 1335549 1780732 2671098 3561464 5342196 7122928 10684392 14245856 21368784 42737568