Search a number
-
+
47808064 = 261913911
BaseRepresentation
bin1011011001011…
…1111001000000
310022221220100001
42312113321000
544214324224
64424405344
71120235053
oct266277100
9108856301
1047808064
1124a939a7
1214016854
139b9b7c5
1464c6a9a
1542e5544
hex2d97e40

47808064 has 28 divisors (see below), whose sum is σ = 95390208. Its totient is φ = 23772800.

The previous prime is 47808049. The next prime is 47808109. The reversal of 47808064 is 46080874.

47808064 = T297 + T298 + ... + T678.

47808064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×478080642 = 4571221966856192, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 10269 + ... + 14179.

Almost surely, 247808064 is an apocalyptic number.

It is an amenable number.

47808064 is a deficient number, since it is larger than the sum of its proper divisors (47582144).

47808064 is a wasteful number, since it uses less digits than its factorization.

47808064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4114 (or 4104 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 47808064 is about 6914.3375676922. The cubic root of 47808064 is about 362.9390675020.

The spelling of 47808064 in words is "forty-seven million, eight hundred eight thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 191 382 764 1528 3056 3911 6112 7822 12224 15644 31288 62576 125152 250304 747001 1494002 2988004 5976008 11952016 23904032 47808064