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47742352 = 2472914699
BaseRepresentation
bin1011011000011…
…1110110010000
310022211120012021
42312013312100
544210223402
64423141224
71116542350
oct266076620
9108746167
1047742352
1124a49599
1213ba4814
139b77918
1464aab60
1542d0d37
hex2d87d90

47742352 has 40 divisors (see below), whose sum is σ = 109368000. Its totient is φ = 19754112.

The previous prime is 47742349. The next prime is 47742353. The reversal of 47742352 is 25324774.

47742352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (47742353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4102 + ... + 10597.

It is an arithmetic number, because the mean of its divisors is an integer number (2734200).

Almost surely, 247742352 is an apocalyptic number.

It is an amenable number.

47742352 is an abundant number, since it is smaller than the sum of its proper divisors (61625648).

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

47742352 is a wasteful number, since it uses less digits than its factorization.

47742352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14743 (or 14737 counting only the distinct ones).

The product of its digits is 47040, while the sum is 34.

The square root of 47742352 is about 6909.5840685240. The cubic root of 47742352 is about 362.7727051400.

The spelling of 47742352 in words is "forty-seven million, seven hundred forty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 1624 3248 14699 29398 58796 102893 117592 205786 235184 411572 426271 823144 852542 1646288 1705084 2983897 3410168 5967794 6820336 11935588 23871176 47742352