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42075712 = 267213417
BaseRepresentation
bin1010000010000…
…0011001000000
32221011200000201
42200200121000
541232410322
64101454544
71020431500
oct240403100
987150021
1042075712
1121829118
1212111454
138942593
145833a00
153a61d27
hex2820640

42075712 has 42 divisors (see below), whose sum is σ = 97132902. Its totient is φ = 18031104.

The previous prime is 42075701. The next prime is 42075713. The reversal of 42075712 is 21757024.

It can be written as a sum of positive squares in only one way, i.e., 33918976 + 8156736 = 5824^2 + 2856^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (42075713) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3573 + ... + 9844.

Almost surely, 242075712 is an apocalyptic number.

It is an amenable number.

42075712 is an abundant number, since it is smaller than the sum of its proper divisors (55057190).

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

42075712 is a wasteful number, since it uses less digits than its factorization.

42075712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13443 (or 13426 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 42075712 is about 6486.5793759115. The cubic root of 42075712 is about 347.8114096850.

The spelling of 42075712 in words is "forty-two million, seventy-five thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 13417 26834 53668 93919 107336 187838 214672 375676 429344 657433 751352 858688 1314866 1502704 2629732 3005408 5259464 6010816 10518928 21037856 42075712