Search a number
-
+
40847328 = 253617103
BaseRepresentation
bin1001101111010…
…0011111100000
32211212021000000
42123310133200
540424103303
64015300000
71004124264
oct233643740
984767000
1040847328
112106a225
121181a600
138602422
1455d40a4
1538bcda3
hex26f47e0

40847328 has 168 divisors, whose sum is σ = 128904048. Its totient is φ = 12690432.

The previous prime is 40847299. The next prime is 40847383. The reversal of 40847328 is 82374804.

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

It is a junction number, because it is equal to n+sod(n) for n = 40847292 and 40847301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 396525 + ... + 396627.

It is an arithmetic number, because the mean of its divisors is an integer number (767286).

Almost surely, 240847328 is an apocalyptic number.

40847328 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 40847328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64452024).

40847328 is an abundant number, since it is smaller than the sum of its proper divisors (88056720).

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

40847328 is a wasteful number, since it uses less digits than its factorization.

40847328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 40847328 is about 6391.1914382218. The cubic root of 40847328 is about 344.3931866224.

The spelling of 40847328 in words is "forty million, eight hundred forty-seven thousand, three hundred twenty-eight".