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5428944 = 24345971
BaseRepresentation
bin10100101101011011010000
3101012211010000
4110231123100
52342211234
6312210000
764100553
oct24553320
911184100
105428944
113078934
121999900
1311810c1
14a1469a
15723899
hex52d6d0

5428944 has 100 divisors (see below), whose sum is σ = 16204320. Its totient is φ = 1753920.

The previous prime is 5428921. The next prime is 5428957. The reversal of 5428944 is 4498245.

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 = 5428899 and 5428908.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 76429 + ... + 76499.

Almost surely, 25428944 is an apocalyptic number.

5428944 is a gapful number since it is divisible by the number (54) 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 5428944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8102160).

5428944 is an abundant number, since it is smaller than the sum of its proper divisors (10775376).

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

5428944 is a wasteful number, since it uses less digits than its factorization.

5428944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 135 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 5428944 is about 2330.0094420410. The cubic root of 5428944 is about 175.7539606170.

The spelling of 5428944 in words is "five million, four hundred twenty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 71 72 81 108 118 142 144 162 177 213 216 236 284 324 354 426 432 472 531 568 639 648 708 852 944 1062 1136 1278 1296 1416 1593 1704 1917 2124 2556 2832 3186 3408 3834 4189 4248 4779 5112 5751 6372 7668 8378 8496 9558 10224 11502 12567 12744 15336 16756 19116 23004 25134 25488 30672 33512 37701 38232 46008 50268 67024 75402 76464 92016 100536 113103 150804 201072 226206 301608 339309 452412 603216 678618 904824 1357236 1809648 2714472 5428944