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44113920 = 21335359
BaseRepresentation
bin1010100001001…
…0000000000000
310002000012220220
42220102000000
542243121140
64213303040
71043651004
oct250220000
9102005826
1044113920
11229a0494
1212934a80
1391a7216
145c04704
153d15bd0
hex2a12000

44113920 has 112 divisors (see below), whose sum is σ = 141549120. Its totient is φ = 11730944.

The previous prime is 44113913. The next prime is 44113987. The reversal of 44113920 is 2931144.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122701 + ... + 123059.

Almost surely, 244113920 is an apocalyptic number.

44113920 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 44113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70774560).

44113920 is an abundant number, since it is smaller than the sum of its proper divisors (97435200).

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

44113920 is an equidigital number, since it uses as much as digits as its factorization.

44113920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 44113920 is about 6641.8310728292. The cubic root of 44113920 is about 353.3392507217.

The spelling of 44113920 in words is "forty-four million, one hundred thirteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 359 384 480 512 640 718 768 960 1024 1077 1280 1436 1536 1795 1920 2048 2154 2560 2872 3072 3590 3840 4096 4308 5120 5385 5744 6144 7180 7680 8192 8616 10240 10770 11488 12288 14360 15360 17232 20480 21540 22976 24576 28720 30720 34464 40960 43080 45952 57440 61440 68928 86160 91904 114880 122880 137856 172320 183808 229760 275712 344640 367616 459520 551424 689280 735232 919040 1102848 1378560 1470464 1838080 2205696 2757120 2940928 3676160 4411392 5514240 7352320 8822784 11028480 14704640 22056960 44113920