Search a number
-
+
47224320 = 2935111343
BaseRepresentation
bin1011010000100…
…1011000000000
310021212020120220
42310021120000
544042134240
64404103040
71112254143
oct264113000
9107766526
1047224320
1124725370
1213994a80
139a25bb0
1463b405a
15422c5d0
hex2d09600

47224320 has 320 divisors, whose sum is σ = 181488384. Its totient is φ = 10321920.

The previous prime is 47224319. The next prime is 47224327. The reversal of 47224320 is 2342274.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47224327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1098219 + ... + 1098261.

Almost surely, 247224320 is an apocalyptic number.

47224320 is a gapful number since it is divisible by the number (40) 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 47224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90744192).

47224320 is an abundant number, since it is smaller than the sum of its proper divisors (134264064).

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

47224320 is a wasteful number, since it uses less digits than its factorization.

47224320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 47224320 is about 6871.9953434210. The cubic root of 47224320 is about 361.4558330978.

Adding to 47224320 its reverse (2342274), we get a palindrome (49566594).

The spelling of 47224320 in words is "forty-seven million, two hundred twenty-four thousand, three hundred twenty".