Search a number
-
+
5045376 = 27371877
BaseRepresentation
bin10011001111110010000000
3100111022221210
4103033302000
52242423001
6300050120
760612360
oct23176200
910438853
105045376
112936736
121833940
13107863b
149549a0
15699dd6
hex4cfc80

5045376 has 64 divisors (see below), whose sum is σ = 15324480. Its totient is φ = 1440768.

The previous prime is 5045347. The next prime is 5045407. The reversal of 5045376 is 6735405.

It is a tau number, because it is divible by the number of its divisors (64).

It is an Ulam number.

It is a d-powerful number, because it can be written as 53 + 0 + 49 + 53 + 314 + 7 + 6 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1750 + ... + 3626.

It is an arithmetic number, because the mean of its divisors is an integer number (239445).

Almost surely, 25045376 is an apocalyptic number.

5045376 is a gapful number since it is divisible by the number (56) 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 5045376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7662240).

5045376 is an abundant number, since it is smaller than the sum of its proper divisors (10279104).

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

5045376 is a wasteful number, since it uses less digits than its factorization.

5045376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 5045376 is about 2246.1914433102. The cubic root of 5045376 is about 171.5133168295.

The spelling of 5045376 in words is "five million, forty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 1877 2688 3754 5631 7508 11262 13139 15016 22524 26278 30032 39417 45048 52556 60064 78834 90096 105112 120128 157668 180192 210224 240256 315336 360384 420448 630672 720768 840896 1261344 1681792 2522688 5045376