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47422064 = 2431671427
BaseRepresentation
bin1011010011100…
…1101001110000
310022020021211202
42310321221300
544120001224
64412230332
71114036514
oct264715160
9108207752
1047422064
112484a998
1213a6b3a8
139a94bc1
146426144
15426aeae
hex2d39a70

47422064 has 40 divisors (see below), whose sum is σ = 96327168. Its totient is φ = 22587840.

The previous prime is 47422051. The next prime is 47422069. The reversal of 47422064 is 46022474.

47422064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47422069) 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, 32519 + ... + 33945.

Almost surely, 247422064 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 47422064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48163584).

47422064 is an abundant number, since it is smaller than the sum of its proper divisors (48905104).

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

47422064 is a wasteful number, since it uses less digits than its factorization.

47422064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

The square root of 47422064 is about 6886.3679831969. The cubic root of 47422064 is about 361.9596426424.

The spelling of 47422064 in words is "forty-seven million, four hundred twenty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 31 62 67 124 134 248 268 496 536 1072 1427 2077 2854 4154 5708 8308 11416 16616 22832 33232 44237 88474 95609 176948 191218 353896 382436 707792 764872 1529744 2963879 5927758 11855516 23711032 47422064