Search a number
-
+
44986368 = 21237523
BaseRepresentation
bin1010101110011…
…1000000000000
310010122112200210
42223213000000
543004030433
64244114120
71054243410
oct253470000
9103575623
1044986368
1123436a19
1213095940
13942136b
145d90640
153e39463
hex2ae7000

44986368 has 104 divisors (see below), whose sum is σ = 137346688. Its totient is φ = 12828672.

The previous prime is 44986351. The next prime is 44986391. The reversal of 44986368 is 86368944.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 85755 + ... + 86277.

Almost surely, 244986368 is an apocalyptic number.

44986368 is a gapful number since it is divisible by the number (48) 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 44986368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68673344).

44986368 is an abundant number, since it is smaller than the sum of its proper divisors (92360320).

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

44986368 is an equidigital number, since it uses as much as digits as its factorization.

44986368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 535 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 44986368 is about 6707.1877862484. The cubic root of 44986368 is about 355.6534101034.

It can be divided in two parts, 44986 and 368, that added together give a palindrome (45354).

The spelling of 44986368 in words is "forty-four million, nine hundred eighty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 523 672 768 896 1024 1046 1344 1536 1569 1792 2048 2092 2688 3072 3138 3584 3661 4096 4184 5376 6144 6276 7168 7322 8368 10752 10983 12288 12552 14336 14644 16736 21504 21966 25104 28672 29288 33472 43008 43932 50208 58576 66944 86016 87864 100416 117152 133888 175728 200832 234304 267776 351456 401664 468608 535552 702912 803328 937216 1071104 1405824 1606656 1874432 2142208 2811648 3213312 3748864 5623296 6426624 7497728 11246592 14995456 22493184 44986368