Search a number
-
+
47680608 = 253796287
BaseRepresentation
bin1011010111100…
…0110001100000
310022201102111110
42311320301200
544201234413
64421543320
71116164343
oct265706140
9108642443
1047680608
1124a07168
1213b74b40
139b557a1
14649245a
1542bc8c3
hex2d78c60

47680608 has 48 divisors (see below), whose sum is σ = 126766080. Its totient is φ = 15689856.

The previous prime is 47680583. The next prime is 47680613. The reversal of 47680608 is 80608674.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4441 + ... + 10727.

It is an arithmetic number, because the mean of its divisors is an integer number (2640960).

Almost surely, 247680608 is an apocalyptic number.

47680608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47680608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63383040).

47680608 is an abundant number, since it is smaller than the sum of its proper divisors (79085472).

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

47680608 is a wasteful number, since it uses less digits than its factorization.

47680608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6379 (or 6371 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 47680608 is about 6905.1146261304. The cubic root of 47680608 is about 362.6162493591.

The spelling of 47680608 in words is "forty-seven million, six hundred eighty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 3792 6287 7584 12574 18861 25148 37722 50296 75444 100592 150888 201184 301776 496673 603552 993346 1490019 1986692 2980038 3973384 5960076 7946768 11920152 15893536 23840304 47680608