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44368920 = 23325373331
BaseRepresentation
bin1010100101000…
…0010000011000
310002111011201100
42221100100120
542324301140
64222551400
71046062311
oct251202030
9102434640
1044368920
1123055032
1212a38560
1392662cb
145c6d608
153d66530
hex2a50418

44368920 has 96 divisors (see below), whose sum is σ = 148140720. Its totient is φ = 11508480.

The previous prime is 44368879. The next prime is 44368937. The reversal of 44368920 is 2986344.

It is a happy number.

44368920 is nontrivially palindromic in base 11.

It is a Cunningham number, because it is equal to 66612-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11655 + ... + 14985.

Almost surely, 244368920 is an apocalyptic number.

44368920 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 44368920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74070360).

44368920 is an abundant number, since it is smaller than the sum of its proper divisors (103771800).

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

44368920 is a wasteful number, since it uses less digits than its factorization.

44368920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3385 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 44368920 is about 6660.9999249362. Note that the first 4 decimals coincide. The cubic root of 44368920 is about 354.0187675581.

The spelling of 44368920 in words is "forty-four million, three hundred sixty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 3331 4440 6660 6662 9993 13320 13324 16655 19986 26648 29979 33310 39972 49965 59958 66620 79944 99930 119916 123247 133240 149895 199860 239832 246494 299790 369741 399720 492988 599580 616235 739482 985976 1109223 1199160 1232470 1478964 1848705 2218446 2464940 2957928 3697410 4436892 4929880 5546115 7394820 8873784 11092230 14789640 22184460 44368920