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44379440 = 2457194397
BaseRepresentation
bin1010100101001…
…0110100110000
310002111201010222
42221102310300
542330120230
64223112212
71046135060
oct251226460
9102451128
1044379440
1123061a26
1212a42668
13926b031
145c733a0
153d696e5
hex2a52d30

44379440 has 160 divisors (see below), whose sum is σ = 128325120. Its totient is φ = 13934592.

The previous prime is 44379437. The next prime is 44379451. The reversal of 44379440 is 4497344.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 44379440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 457472 + ... + 457568.

It is an arithmetic number, because the mean of its divisors is an integer number (802032).

Almost surely, 244379440 is an apocalyptic number.

44379440 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 44379440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64162560).

44379440 is an abundant number, since it is smaller than the sum of its proper divisors (83945680).

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

44379440 is a wasteful number, since it uses less digits than its factorization.

44379440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 44379440 is about 6661.7895493628. The cubic root of 44379440 is about 354.0467449736.

The spelling of 44379440 in words is "forty-four million, three hundred seventy-nine thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 43 56 70 76 80 86 95 97 112 133 140 152 172 190 194 215 266 280 301 304 344 380 388 430 485 532 560 602 665 679 688 760 776 817 860 970 1064 1204 1330 1358 1505 1520 1552 1634 1720 1843 1940 2128 2408 2660 2716 3010 3268 3395 3440 3686 3880 4085 4171 4816 5320 5432 5719 6020 6536 6790 7372 7760 8170 8342 9215 10640 10864 11438 12040 12901 13072 13580 14744 16340 16684 18430 20855 22876 24080 25802 27160 28595 29197 29488 32680 33368 36860 41710 45752 51604 54320 57190 58394 64505 65360 66736 73720 79249 83420 91504 103208 114380 116788 129010 145985 147440 158498 166840 206416 228760 233576 258020 291970 316996 333680 396245 457520 467152 516040 554743 583940 633992 792490 1032080 1109486 1167880 1267984 1584980 2218972 2335760 2773715 3169960 4437944 5547430 6339920 8875888 11094860 22189720 44379440