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44073072 = 2434311097
BaseRepresentation
bin1010100000100…
…0000001110000
310001221010220000
42220020001300
542240314242
64212350000
71043420631
oct250100160
9101833800
1044073072
112297282a
1212915300
139191754
145bd3888
153d08a4c
hex2a08070

44073072 has 100 divisors (see below), whose sum is σ = 131795136. Its totient is φ = 14204160.

The previous prime is 44073053. The next prime is 44073077. The reversal of 44073072 is 27037044.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44073077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39628 + ... + 40724.

Almost surely, 244073072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44073072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65897568).

44073072 is an abundant number, since it is smaller than the sum of its proper divisors (87722064).

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

44073072 is a wasteful number, since it uses less digits than its factorization.

44073072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 44073072 is about 6638.7553050252. The cubic root of 44073072 is about 353.2301569716.

The spelling of 44073072 in words is "forty-four million, seventy-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 81 93 108 124 144 162 186 216 248 279 324 372 432 496 558 648 744 837 1097 1116 1296 1488 1674 2194 2232 2511 3291 3348 4388 4464 5022 6582 6696 8776 9873 10044 13164 13392 17552 19746 20088 26328 29619 34007 39492 40176 52656 59238 68014 78984 88857 102021 118476 136028 157968 177714 204042 236952 272056 306063 355428 408084 473904 544112 612126 710856 816168 918189 1224252 1421712 1632336 1836378 2448504 2754567 3672756 4897008 5509134 7345512 11018268 14691024 22036536 44073072