Search a number
-
+
947424 = 25371139
BaseRepresentation
bin11100111010011100000
31210010121210
43213103200
5220304144
632150120
711024112
oct3472340
91703553
10947424
115978a5
12398340
1327230a
141a93b2
1513aab9
hexe74e0

947424 has 48 divisors (see below), whose sum is σ = 2540160. Its totient is φ = 309120.

The previous prime is 947423. The next prime is 947431. The reversal of 947424 is 424749.

947424 = T37 + T38 + ... + T178.

947424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×9474242 = 1795224471552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 947391 and 947400.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 947424.

It is not an unprimeable number, because it can be changed into a prime (947423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6747 + ... + 6885.

It is an arithmetic number, because the mean of its divisors is an integer number (52920).

2947424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 947424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270080).

947424 is an abundant number, since it is smaller than the sum of its proper divisors (1592736).

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

947424 is a wasteful number, since it uses less digits than its factorization.

947424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 215 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 947424 is about 973.3570773360. The cubic root of 947424 is about 98.2158231133.

The spelling of 947424 in words is "nine hundred forty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 139 142 213 278 284 417 426 556 568 834 852 1112 1136 1668 1704 2224 2272 3336 3408 4448 6672 6816 9869 13344 19738 29607 39476 59214 78952 118428 157904 236856 315808 473712 947424