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44424960 = 283523503
BaseRepresentation
bin1010100101110…
…1111100000000
310002121000120220
42221131330000
542333044320
64224103040
71046414556
oct251357400
9102530526
1044424960
1123093148
1212a64a80
139285978
145c85bd6
153d77e40
hex2a5df00

44424960 has 144 divisors (see below), whose sum is σ = 148345344. Its totient is φ = 11309056.

The previous prime is 44424943. The next prime is 44424979. The reversal of 44424960 is 6942444.

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, 88069 + ... + 88571.

It is an arithmetic number, because the mean of its divisors is an integer number (1030176).

Almost surely, 244424960 is an apocalyptic number.

44424960 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 44424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74172672).

44424960 is an abundant number, since it is smaller than the sum of its proper divisors (103920384).

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

44424960 is a wasteful number, since it uses less digits than its factorization.

44424960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 44424960 is about 6665.2051731361. The cubic root of 44424960 is about 354.1677522151.

The spelling of 44424960 in words is "forty-four million, four hundred twenty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 256 276 320 345 368 384 460 480 503 552 640 690 736 768 920 960 1006 1104 1280 1380 1472 1509 1840 1920 2012 2208 2515 2760 2944 3018 3680 3840 4024 4416 5030 5520 5888 6036 7360 7545 8048 8832 10060 11040 11569 12072 14720 15090 16096 17664 20120 22080 23138 24144 29440 30180 32192 34707 40240 44160 46276 48288 57845 60360 64384 69414 80480 88320 92552 96576 115690 120720 128768 138828 160960 173535 185104 193152 231380 241440 277656 321920 347070 370208 386304 462760 482880 555312 643840 694140 740416 925520 965760 1110624 1388280 1480832 1851040 1931520 2221248 2776560 2961664 3702080 4442496 5553120 7404160 8884992 11106240 14808320 22212480 44424960