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948428 = 221322361
BaseRepresentation
bin11100111100011001100
31210011222222
43213203030
5220322203
632154512
711030045
oct3474314
91704888
10948428
11598628
12398a38
13272900
141a98cc
1513b038
hexe78cc

948428 has 36 divisors (see below), whose sum is σ = 1906128. Its totient is φ = 411840.

The previous prime is 948427. The next prime is 948439. The reversal of 948428 is 824849.

948428 = T257 + T258 + ... + T282.

It is a zygodrome in base 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 948428.

It is not an unprimeable number, because it can be changed into a prime (948427) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 15518 + ... + 15578.

It is an arithmetic number, because the mean of its divisors is an integer number (52948).

2948428 is an apocalyptic number.

It is an amenable number.

948428 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

948428 is a wasteful number, since it uses less digits than its factorization.

948428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 99 counting only the distinct ones).

The product of its digits is 18432, while the sum is 35.

The square root of 948428 is about 973.8726816171. The cubic root of 948428 is about 98.2505044789.

The spelling of 948428 in words is "nine hundred forty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 4 13 23 26 46 52 61 92 122 169 244 299 338 598 676 793 1196 1403 1586 2806 3172 3887 5612 7774 10309 15548 18239 20618 36478 41236 72956 237107 474214 948428