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44042320 = 2457314359
BaseRepresentation
bin1010100000000…
…0100001010000
310001212120201001
42220000201100
542233323240
64211551344
71043232160
oct250004120
9101776631
1044042320
1122951713
12128bb554
13918075a
145bc65a0
153cee89a
hex2a00850

44042320 has 160 divisors (see below), whose sum is σ = 125706240. Its totient is φ = 14031360.

The previous prime is 44042293. The next prime is 44042333. The reversal of 44042320 is 2324044.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 746451 + ... + 746509.

It is an arithmetic number, because the mean of its divisors is an integer number (785664).

Almost surely, 244042320 is an apocalyptic number.

44042320 is a gapful number since it is divisible by the number (40) 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 44042320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62853120).

44042320 is an abundant number, since it is smaller than the sum of its proper divisors (81663920).

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

44042320 is a wasteful number, since it uses less digits than its factorization.

44042320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 44042320 is about 6636.4388040575. The cubic root of 44042320 is about 353.1479823714.

Adding to 44042320 its reverse (2324044), we get a palindrome (46366364).

It can be divided in two parts, 4404 and 2320, that added together give a square (6724 = 822).

The spelling of 44042320 in words is "forty-four million, forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 43 56 59 62 70 80 86 112 118 124 140 155 172 215 217 236 248 280 295 301 310 344 413 430 434 472 496 560 590 602 620 688 826 860 868 944 1085 1180 1204 1240 1333 1505 1652 1720 1736 1829 2065 2170 2360 2408 2480 2537 2666 3010 3304 3440 3472 3658 4130 4340 4720 4816 5074 5332 6020 6608 6665 7316 8260 8680 9145 9331 10148 10664 12040 12685 12803 13330 14632 16520 17360 17759 18290 18662 20296 21328 24080 25370 25606 26660 29264 33040 35518 36580 37324 40592 46655 50740 51212 53320 64015 71036 73160 74648 78647 88795 93310 101480 102424 106640 128030 142072 146320 149296 157294 177590 186620 202960 204848 256060 284144 314588 355180 373240 393235 512120 550529 629176 710360 746480 786470 1024240 1101058 1258352 1420720 1572940 2202116 2752645 3145880 4404232 5505290 6291760 8808464 11010580 22021160 44042320