Search a number
-
+
4927392 = 25341901
BaseRepresentation
bin10010110010111110100000
3100021100010000
4102302332200
52230134032
6253340000
756611401
oct22627640
910240100
104927392
112866028
121797600
131036a22
149239a8
15674e7c
hex4b2fa0

4927392 has 60 divisors (see below), whose sum is σ = 14498946. Its totient is φ = 1641600.

The previous prime is 4927387. The next prime is 4927409. The reversal of 4927392 is 2937294.

It can be written as a sum of positive squares in only one way, i.e., 4822416 + 104976 = 2196^2 + 324^2 .

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

It is a d-powerful number, because it can be written as 47 + 9 + 2 + 76 + 37 + 97 + 213 .

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 1642 + ... + 3542.

Almost surely, 24927392 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 4927392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7249473).

4927392 is an abundant number, since it is smaller than the sum of its proper divisors (9571554).

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

4927392 is a wasteful number, since it uses less digits than its factorization.

4927392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1906 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 4927392 is about 2219.7729613634. The cubic root of 4927392 is about 170.1658358669.

The spelling of 4927392 in words is "four million, nine hundred twenty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 1901 2592 3802 5703 7604 11406 15208 17109 22812 30416 34218 45624 51327 60832 68436 91248 102654 136872 153981 182496 205308 273744 307962 410616 547488 615924 821232 1231848 1642464 2463696 4927392