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42729472 = 218163
BaseRepresentation
bin1010001100000…
…0000000000000
32222101212211001
42203000000000
541414320342
64123501344
71026123502
oct243000000
988355731
1042729472
1122135315
1212387854
138b11016
145963d72
153b408b7
hex28c0000

42729472 has 38 divisors (see below), whose sum is σ = 85983068. Its totient is φ = 21233664.

The previous prime is 42729437. The next prime is 42729473. The reversal of 42729472 is 27492724.

It is not an unprimeable number, because it can be changed into a prime (42729473) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 262063 + ... + 262225.

Almost surely, 242729472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42729472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42991534).

42729472 is an abundant number, since it is smaller than the sum of its proper divisors (43253596).

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

42729472 is an frugal number, since it uses more digits than its factorization.

42729472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 165 counting only the distinct ones).

The product of its digits is 56448, while the sum is 37.

The square root of 42729472 is about 6536.7784114195. The cubic root of 42729472 is about 349.6035565620.

The spelling of 42729472 in words is "forty-two million, seven hundred twenty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 163 256 326 512 652 1024 1304 2048 2608 4096 5216 8192 10432 16384 20864 32768 41728 65536 83456 131072 166912 262144 333824 667648 1335296 2670592 5341184 10682368 21364736 42729472