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44429568 = 283174183
BaseRepresentation
bin1010100101111…
…1000100000000
310002121020220120
42221133010000
542333221233
64224140240
71046434161
oct251370400
9102536816
1044429568
1123096657
1212a67680
139287ab1
145c87768
153d794b3
hex2a5f100

44429568 has 144 divisors (see below), whose sum is σ = 129802176. Its totient is φ = 13434880.

The previous prime is 44429557. The next prime is 44429569. The reversal of 44429568 is 86592444.

Its product of digits (276480) is a multiple of the sum of its prime factors (160).

It is not an unprimeable number, because it can be changed into a prime (44429569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 535255 + ... + 535337.

It is an arithmetic number, because the mean of its divisors is an integer number (901404).

Almost surely, 244429568 is an apocalyptic number.

44429568 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 44429568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64901088).

44429568 is an abundant number, since it is smaller than the sum of its proper divisors (85372608).

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

44429568 is a wasteful number, since it uses less digits than its factorization.

44429568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 146 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 44429568 is about 6665.5508399531. The cubic root of 44429568 is about 354.1799971976.

The spelling of 44429568 in words is "forty-four million, four hundred twenty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 41 48 51 64 68 82 83 96 102 123 128 136 164 166 192 204 246 249 256 272 328 332 384 408 492 498 544 656 664 697 768 816 984 996 1088 1312 1328 1394 1411 1632 1968 1992 2091 2176 2624 2656 2788 2822 3264 3403 3936 3984 4182 4233 4352 5248 5312 5576 5644 6528 6806 7872 7968 8364 8466 10209 10496 10624 11152 11288 13056 13612 15744 15936 16728 16932 20418 21248 22304 22576 27224 31488 31872 33456 33864 40836 44608 45152 54448 57851 63744 66912 67728 81672 89216 90304 108896 115702 133824 135456 163344 173553 178432 180608 217792 231404 267648 270912 326688 347106 361216 435584 462808 535296 541824 653376 694212 871168 925616 1083648 1306752 1388424 1851232 2613504 2776848 3702464 5553696 7404928 11107392 14809856 22214784 44429568