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5044416 = 263134347
BaseRepresentation
bin10011001111100011000000
3100111021122020
4103033203000
52242410131
6300041440
760606516
oct23174300
910437566
105044416
112935a43
121833280
131078080
149544b6
15699996
hex4cf8c0

5044416 has 112 divisors (see below), whose sum is σ = 15020544. Its totient is φ = 1483776.

The previous prime is 5044409. The next prime is 5044423. The reversal of 5044416 is 6144405.

5044416 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (5044409) and next prime (5044423).

It is a super-2 number, since 2×50444162 = 50892265562112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107305 + ... + 107351.

It is an arithmetic number, because the mean of its divisors is an integer number (134112).

Almost surely, 25044416 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 5044416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7510272).

5044416 is an abundant number, since it is smaller than the sum of its proper divisors (9976128).

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

5044416 is a wasteful number, since it uses less digits than its factorization.

5044416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 5044416 is about 2245.9777380909. The cubic root of 5044416 is about 171.5024380084.

It can be divided in two parts, 5044 and 416, that added together give a triangular number (5460 = T104).

The spelling of 5044416 in words is "five million, forty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 43 47 48 52 64 78 86 94 96 104 129 141 156 172 188 192 208 258 282 312 344 376 416 516 559 564 611 624 688 752 832 1032 1118 1128 1222 1248 1376 1504 1677 1833 2021 2064 2236 2256 2444 2496 2752 3008 3354 3666 4042 4128 4472 4512 4888 6063 6708 7332 8084 8256 8944 9024 9776 12126 13416 14664 16168 17888 19552 24252 26273 26832 29328 32336 35776 39104 48504 52546 53664 58656 64672 78819 97008 105092 107328 117312 129344 157638 194016 210184 315276 388032 420368 630552 840736 1261104 1681472 2522208 5044416