Search a number
-
+
48347712 = 263372571
BaseRepresentation
bin1011100001101…
…1101001000000
310100222022121000
42320123221000
544334111322
64444132000
71124643300
oct270335100
9110868530
1048347712
1125322396
1214237000
13a02a31a
1465c7600
1543a03ac
hex2e1ba40

48347712 has 168 divisors, whose sum is σ = 165628320. Its totient is φ = 13789440.

The previous prime is 48347707. The next prime is 48347729. The reversal of 48347712 is 21774384.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84387 + ... + 84957.

Almost surely, 248347712 is an apocalyptic number.

48347712 is a gapful number since it is divisible by the number (42) 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 48347712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82814160).

48347712 is an abundant number, since it is smaller than the sum of its proper divisors (117280608).

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

48347712 is a wasteful number, since it uses less digits than its factorization.

48347712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 583 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 48347712 is about 6953.2519010892. The cubic root of 48347712 is about 364.2995561720.

The spelling of 48347712 in words is "forty-eight million, three hundred forty-seven thousand, seven hundred twelve".