Search a number
-
+
28404964 = 22741109227
BaseRepresentation
bin110110001011…
…0110011100100
31222110010021201
41230112303210
524232424324
62452452244
7463303210
oct154266344
958403251
1028404964
1115041085
12961a084
135b66c93
143ab5940
152761444
hex1b16ce4

28404964 has 48 divisors (see below), whose sum is σ = 58988160. Its totient is φ = 11715840.

The previous prime is 28404919. The next prime is 28404989. The reversal of 28404964 is 46940482.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125019 + ... + 125245.

It is an arithmetic number, because the mean of its divisors is an integer number (1228920).

Almost surely, 228404964 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 28404964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29494080).

28404964 is an abundant number, since it is smaller than the sum of its proper divisors (30583196).

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

28404964 is a wasteful number, since it uses less digits than its factorization.

28404964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 28404964 is about 5329.6307564408. The cubic root of 28404964 is about 305.1158352456.

The spelling of 28404964 in words is "twenty-eight million, four hundred four thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 28 41 82 109 164 218 227 287 436 454 574 763 908 1148 1526 1589 3052 3178 4469 6356 8938 9307 17876 18614 24743 31283 37228 49486 62566 65149 98972 125132 130298 173201 260596 346402 692804 1014463 2028926 4057852 7101241 14202482 28404964